GCD of 756, 916, 690, 872 Calculator

Given Input numbers are 756, 916, 690, 872

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (756, 916, 690, 872) = 2.

Given numbers are 756, 916, 690, 872

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 916 are 2 x 2 x 229

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 756, 916, 690, 872 is 2.

Given numbers are 756, 916, 690, 872

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

Apply this formula for all numbers.

Step1:

LCM(756, 916) = 173124

GCD(756, 916) = ( 756 x 916 ) / 173124

= 756 / 916

= 756

Step2:

LCM(4, 690) = 1380

GCD(4, 690) = ( 4 x 690 ) / 1380

= 4 / 690

= 4

Step3:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

So, Greatest Common Divisor of 756, 916, 690, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 811, 658, 753
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Given numbers are 756, 916, 690, 872
The greatest common divisor of numbers 756, 916, 690, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 916, 690, 872 is 2.

1. What is the GCD of 756, 916, 690, 872?

GCD of given numbers 756, 916, 690, 872 is 2

2. How to calculate the greatest common divisor of 756, 916, 690, 872?

We can find the highest common divisor of 756, 916, 690, 872 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 756, 916, 690, 872 i.e 2.

3. How can I use the GCD of 756, 916, 690, 872Calculator?

Out the numbers 756, 916, 690, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.