GCD of 252, 638, 456, 628 Calculator

Given Input numbers are 252, 638, 456, 628

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 (252, 638, 456, 628) = 2.

Given numbers are 252, 638, 456, 628

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 638 are 2 x 11 x 29

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 628 are 2 x 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 252, 638, 456, 628 is 2.

Given numbers are 252, 638, 456, 628

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

Apply this formula for all numbers.

Step1:

LCM(252, 638) = 80388

GCD(252, 638) = ( 252 x 638 ) / 80388

= 252 / 638

= 252

Step2:

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

= 2 / 456

= 2

Step3:

LCM(2, 628) = 628

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

= 2 / 628

= 2

So, Greatest Common Divisor of 252, 638, 456, 628 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 171, 799, 651
• GCD of 562, 508, 928, 339
• GCD of 686, 544, 238, 790
• GCD of 952, 194, 431, 689
• GCD of 109, 416, 369, 927

Given numbers are 252, 638, 456, 628
The greatest common divisor of numbers 252, 638, 456, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 638, 456, 628 is 2.

1. What is the GCD of 252, 638, 456, 628?

GCD of given numbers 252, 638, 456, 628 is 2

2. How to calculate the greatest common divisor of 252, 638, 456, 628?

We can find the highest common divisor of 252, 638, 456, 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 252, 638, 456, 628 i.e 2.

3. How can I use the GCD of 252, 638, 456, 628Calculator?

Out the numbers 252, 638, 456, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.