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GCD of 876, 624, 860, 160 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 876, 624, 860, 160 quickly. Get the easiest ways to solve the greatest common divisor of 876, 624, 860, 160 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 876, 624, 860, 160 with Factoring?

Given Input numbers are 876, 624, 860, 160

In the factoring method, we have to find the divisors of all numbers

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160


GCD of numbers is the greatest common divisor

So, the GCD (876, 624, 860, 160) = 4.

Find GCD of 876, 624, 860, 160 using Prime Factorization

Given numbers are 876, 624, 860, 160

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 22

Therefore, GCD of 876, 624, 860, 160 is 4.

Steps to Calculate GCD of 876, 624, 860, 160 using LCM Formula

Given numbers are 876, 624, 860, 160

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(876, 624) = 45552

GCD(876, 624) = ( 876 x 624 ) / 45552

= 876 / 624

= 876


Step2:

LCM(12, 860) = 2580

GCD(12, 860) = ( 12 x 860 ) / 2580

= 12 / 860

= 12


Step3:

LCM(4, 160) = 160

GCD(4, 160) = ( 4 x 160 ) / 160

= 4 / 160

= 4


So, Greatest Common Divisor of 876, 624, 860, 160 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 876, 624, 860, 160

Given numbers are 876, 624, 860, 160
The greatest common divisor of numbers 876, 624, 860, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 624, 860, 160 is 4.

FAQs on GCD of 876, 624, 860, 160 Calculator

1. What is the GCD of 876, 624, 860, 160?

GCD of given numbers 876, 624, 860, 160 is 4


2. How to calculate the greatest common divisor of 876, 624, 860, 160?

We can find the highest common divisor of 876, 624, 860, 160 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 876, 624, 860, 160 i.e 4.


3. How can I use the GCD of 876, 624, 860, 160Calculator?

Out the numbers 876, 624, 860, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.