HCF of 1872 and 1320
HCF of 1872 and 1320 is the largest possible number that divides 1872 and 1320 exactly without any remainder. The factors of 1872 and 1320 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872 and 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320 respectively. There are 3 commonly used methods to find the HCF of 1872 and 1320  prime factorization, long division, and Euclidean algorithm.
1.  HCF of 1872 and 1320 
2.  List of Methods 
3.  Solved Examples 
4.  FAQs 
What is HCF of 1872 and 1320?
Answer: HCF of 1872 and 1320 is 24.
Explanation:
The HCF of two nonzero integers, x(1872) and y(1320), is the highest positive integer m(24) that divides both x(1872) and y(1320) without any remainder.
Methods to Find HCF of 1872 and 1320
The methods to find the HCF of 1872 and 1320 are explained below.
 Listing Common Factors
 Long Division Method
 Prime Factorization Method
HCF of 1872 and 1320 by Listing Common Factors
 Factors of 1872: 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872
 Factors of 1320: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320
There are 8 common factors of 1872 and 1320, that are 1, 2, 3, 4, 6, 8, 12, and 24. Therefore, the highest common factor of 1872 and 1320 is 24.
HCF of 1872 and 1320 by Long Division
HCF of 1872 and 1320 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
 Step 1: Divide 1872 (larger number) by 1320 (smaller number).
 Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (1320) by the remainder (552).
 Step 3: Repeat this process until the remainder = 0.
The corresponding divisor (24) is the HCF of 1872 and 1320.
HCF of 1872 and 1320 by Prime Factorization
Prime factorization of 1872 and 1320 is (2 × 2 × 2 × 2 × 3 × 3 × 13) and (2 × 2 × 2 × 3 × 5 × 11) respectively. As visible, 1872 and 1320 have common prime factors. Hence, the HCF of 1872 and 1320 is 2 × 2 × 2 × 3 = 24.
☛ Also Check:
 HCF of 20 and 30 = 10
 HCF of 8 and 15 = 1
 HCF of 108 and 144 = 36
 HCF of 14 and 16 = 2
 HCF of 4, 8 and 12 = 4
 HCF of 403, 434 and 465 = 31
 HCF of 3 and 9 = 3
HCF of 1872 and 1320 Examples

Example 1: The product of two numbers is 2471040. If their HCF is 24, what is their LCM?
Solution:
Given: HCF = 24 and product of numbers = 2471040
∵ LCM × HCF = product of numbers
⇒ LCM = Product/HCF = 2471040/24
Therefore, the LCM is 102960. 
Example 2: For two numbers, HCF = 24 and LCM = 102960. If one number is 1320, find the other number.
Solution:
Given: HCF (z, 1320) = 24 and LCM (z, 1320) = 102960
∵ HCF × LCM = 1320 × (z)
⇒ z = (HCF × LCM)/1320
⇒ z = (24 × 102960)/1320
⇒ z = 1872
Therefore, the other number is 1872. 
Example 3: Find the HCF of 1872 and 1320, if their LCM is 102960.
Solution:
∵ LCM × HCF = 1872 × 1320
⇒ HCF(1872, 1320) = (1872 × 1320)/102960 = 24
Therefore, the highest common factor of 1872 and 1320 is 24.
FAQs on HCF of 1872 and 1320
What is the HCF of 1872 and 1320?
The HCF of 1872 and 1320 is 24. To calculate the HCF (Highest Common Factor) of 1872 and 1320, we need to factor each number (factors of 1872 = 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872; factors of 1320 = 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320) and choose the highest factor that exactly divides both 1872 and 1320, i.e., 24.
What are the Methods to Find HCF of 1872 and 1320?
There are three commonly used methods to find the HCF of 1872 and 1320.
 By Euclidean Algorithm
 By Long Division
 By Prime Factorization
How to Find the HCF of 1872 and 1320 by Prime Factorization?
To find the HCF of 1872 and 1320, we will find the prime factorization of the given numbers, i.e. 1872 = 2 × 2 × 2 × 2 × 3 × 3 × 13; 1320 = 2 × 2 × 2 × 3 × 5 × 11.
⇒ Since 2, 2, 2, 3 are common terms in the prime factorization of 1872 and 1320. Hence, HCF(1872, 1320) = 2 × 2 × 2 × 3 = 24
☛ Prime Numbers
What is the Relation Between LCM and HCF of 1872, 1320?
The following equation can be used to express the relation between LCM (Least Common Multiple) and HCF of 1872 and 1320, i.e. HCF × LCM = 1872 × 1320.
If the HCF of 1320 and 1872 is 24, Find its LCM.
HCF(1320, 1872) × LCM(1320, 1872) = 1320 × 1872
Since the HCF of 1320 and 1872 = 24
⇒ 24 × LCM(1320, 1872) = 2471040
Therefore, LCM = 102960
☛ Highest Common Factor Calculator
How to Find the HCF of 1872 and 1320 by Long Division Method?
To find the HCF of 1872, 1320 using long division method, 1872 is divided by 1320. The corresponding divisor (24) when remainder equals 0 is taken as HCF.
visual curriculum