GCD of 972, 628, 667, 507 Calculator

Given Input numbers are 972, 628, 667, 507

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (972, 628, 667, 507) = 1.

Given numbers are 972, 628, 667, 507

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 628 are 2 x 2 x 157

Prime factors of 667 are 23 x 29

Prime factors of 507 are 3 x 13 x 13

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

Given numbers are 972, 628, 667, 507

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

Apply this formula for all numbers.

Step1:

LCM(972, 628) = 152604

GCD(972, 628) = ( 972 x 628 ) / 152604

= 972 / 628

= 972

Step2:

LCM(4, 667) = 2668

GCD(4, 667) = ( 4 x 667 ) / 2668

= 4 / 667

= 4

Step3:

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

= 1 / 507

= 1

So, Greatest Common Divisor of 972, 628, 667, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 218, 509, 245
• GCD of 619, 122, 893, 717
• GCD of 356, 699, 200, 336
• GCD of 833, 341, 910, 894
• GCD of 372, 504, 805, 703

Given numbers are 972, 628, 667, 507
The greatest common divisor of numbers 972, 628, 667, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 628, 667, 507 is 1.

1. What is the GCD of 972, 628, 667, 507?

GCD of given numbers 972, 628, 667, 507 is 1

2. How to calculate the greatest common divisor of 972, 628, 667, 507?

We can find the highest common divisor of 972, 628, 667, 507 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, 628, 667, 507 i.e 1.

3. How can I use the GCD of 972, 628, 667, 507Calculator?

Out the numbers 972, 628, 667, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.