GCD of 972, 404, 328, 252 Calculator

Given Input numbers are 972, 404, 328, 252

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

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

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 (972, 404, 328, 252) = 4.

Given numbers are 972, 404, 328, 252

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 404 are 2 x 2 x 101

Prime factors of 328 are 2 x 2 x 2 x 41

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

The highest common occurrence is 2²

Therefore, GCD of 972, 404, 328, 252 is 4.

Given numbers are 972, 404, 328, 252

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

Apply this formula for all numbers.

Step1:

LCM(972, 404) = 98172

GCD(972, 404) = ( 972 x 404 ) / 98172

= 972 / 404

= 972

Step2:

LCM(4, 328) = 328

GCD(4, 328) = ( 4 x 328 ) / 328

= 4 / 328

= 4

Step3:

LCM(4, 252) = 252

GCD(4, 252) = ( 4 x 252 ) / 252

= 4 / 252

= 4

So, Greatest Common Divisor of 972, 404, 328, 252 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 975, 680, 733
• GCD of 266, 370, 787, 428
• GCD of 664, 958, 269, 614
• GCD of 477, 908, 174, 496
• GCD of 668, 950, 649, 537

Given numbers are 972, 404, 328, 252
The greatest common divisor of numbers 972, 404, 328, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 404, 328, 252 is 4.

1. What is the GCD of 972, 404, 328, 252?

GCD of given numbers 972, 404, 328, 252 is 4

2. How to calculate the greatest common divisor of 972, 404, 328, 252?

We can find the highest common divisor of 972, 404, 328, 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 972, 404, 328, 252 i.e 4.

3. How can I use the GCD of 972, 404, 328, 252Calculator?

Out the numbers 972, 404, 328, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.