GCD of 456, 396, 131, 252 Calculator

Given Input numbers are 456, 396, 131, 252

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

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

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

GCD of numbers is the greatest common divisor

So, the GCD (456, 396, 131, 252) = 1.

Given numbers are 456, 396, 131, 252

The list of prime factors of all numbers are

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

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 131 are 131

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 456, 396, 131, 252

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

Apply this formula for all numbers.

Step1:

LCM(456, 396) = 15048

GCD(456, 396) = ( 456 x 396 ) / 15048

= 456 / 396

= 456

Step2:

LCM(12, 131) = 1572

GCD(12, 131) = ( 12 x 131 ) / 1572

= 12 / 131

= 12

Step3:

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

= 1 / 252

= 1

So, Greatest Common Divisor of 456, 396, 131, 252 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 818, 977, 493
• GCD of 667, 654, 693, 639
• GCD of 689, 820, 360, 824
• GCD of 182, 800, 107, 218
• GCD of 594, 717, 828, 343

Given numbers are 456, 396, 131, 252
The greatest common divisor of numbers 456, 396, 131, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 396, 131, 252 is 1.

1. What is the GCD of 456, 396, 131, 252?

GCD of given numbers 456, 396, 131, 252 is 1

2. How to calculate the greatest common divisor of 456, 396, 131, 252?

We can find the highest common divisor of 456, 396, 131, 252 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 456, 396, 131, 252 i.e 1.

3. How can I use the GCD of 456, 396, 131, 252Calculator?

Out the numbers 456, 396, 131, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.