GCD of 252, 502, 772, 524 Calculator

Given Input numbers are 252, 502, 772, 524

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 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (252, 502, 772, 524) = 2.

Given numbers are 252, 502, 772, 524

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 502 are 2 x 251

Prime factors of 772 are 2 x 2 x 193

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 252, 502, 772, 524 is 2.

Given numbers are 252, 502, 772, 524

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

Apply this formula for all numbers.

Step1:

LCM(252, 502) = 63252

GCD(252, 502) = ( 252 x 502 ) / 63252

= 252 / 502

= 252

Step2:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

Step3:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2

So, Greatest Common Divisor of 252, 502, 772, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 529, 570, 752
• GCD of 182, 764, 286, 760
• GCD of 843, 110, 569, 923
• GCD of 200, 657, 262, 291
• GCD of 565, 589, 411, 568

Given numbers are 252, 502, 772, 524
The greatest common divisor of numbers 252, 502, 772, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 502, 772, 524 is 2.

1. What is the GCD of 252, 502, 772, 524?

GCD of given numbers 252, 502, 772, 524 is 2

2. How to calculate the greatest common divisor of 252, 502, 772, 524?

We can find the highest common divisor of 252, 502, 772, 524 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, 502, 772, 524 i.e 2.

3. How can I use the GCD of 252, 502, 772, 524Calculator?

Out the numbers 252, 502, 772, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.