GCD of 972, 572, 450, 715 Calculator

Given Input numbers are 972, 572, 450, 715

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 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

GCD of numbers is the greatest common divisor

So, the GCD (972, 572, 450, 715) = 1.

Given numbers are 972, 572, 450, 715

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 572 are 2 x 2 x 11 x 13

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 715 are 5 x 11 x 13

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

Given numbers are 972, 572, 450, 715

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

Apply this formula for all numbers.

Step1:

LCM(972, 572) = 138996

GCD(972, 572) = ( 972 x 572 ) / 138996

= 972 / 572

= 972

Step2:

LCM(4, 450) = 900

GCD(4, 450) = ( 4 x 450 ) / 900

= 4 / 450

= 4

Step3:

LCM(2, 715) = 1430

GCD(2, 715) = ( 2 x 715 ) / 1430

= 2 / 715

= 2

So, Greatest Common Divisor of 972, 572, 450, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 963, 380, 658, 276
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• GCD of 713, 697, 415, 950
• GCD of 161, 266, 551, 752

Given numbers are 972, 572, 450, 715
The greatest common divisor of numbers 972, 572, 450, 715 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 572, 450, 715 is 1.

1. What is the GCD of 972, 572, 450, 715?

GCD of given numbers 972, 572, 450, 715 is 1

2. How to calculate the greatest common divisor of 972, 572, 450, 715?

We can find the highest common divisor of 972, 572, 450, 715 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, 572, 450, 715 i.e 1.

3. How can I use the GCD of 972, 572, 450, 715Calculator?

Out the numbers 972, 572, 450, 715 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.