GCD of 874, 872, 656, 628 Calculator

Given Input numbers are 874, 872, 656, 628

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 872 :

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

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

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

GCD of numbers is the greatest common divisor

So, the GCD (874, 872, 656, 628) = 2.

Given numbers are 874, 872, 656, 628

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

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

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 628 are 2 x 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 874, 872, 656, 628 is 2.

Given numbers are 874, 872, 656, 628

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

Apply this formula for all numbers.

Step1:

LCM(874, 872) = 381064

GCD(874, 872) = ( 874 x 872 ) / 381064

= 874 / 872

= 874

Step2:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2

Step3:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

So, Greatest Common Divisor of 874, 872, 656, 628 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 683, 316, 814
• GCD of 352, 816, 903, 496
• GCD of 619, 435, 988, 137
• GCD of 293, 425, 129, 739
• GCD of 244, 872, 373, 350

Given numbers are 874, 872, 656, 628
The greatest common divisor of numbers 874, 872, 656, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 872, 656, 628 is 2.

1. What is the GCD of 874, 872, 656, 628?

GCD of given numbers 874, 872, 656, 628 is 2

2. How to calculate the greatest common divisor of 874, 872, 656, 628?

We can find the highest common divisor of 874, 872, 656, 628 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 874, 872, 656, 628 i.e 2.

3. How can I use the GCD of 874, 872, 656, 628Calculator?

Out the numbers 874, 872, 656, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.