GCD of 507, 563, 660, 972 Calculator

Given Input numbers are 507, 563, 660, 972

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

Divisors of 507 :

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

1, 3, 13, 39, 169, 507

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

GCD of numbers is the greatest common divisor

So, the GCD (507, 563, 660, 972) = 1.

Given numbers are 507, 563, 660, 972

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 563 are 563

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

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

Given numbers are 507, 563, 660, 972

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

Apply this formula for all numbers.

Step1:

LCM(507, 563) = 285441

GCD(507, 563) = ( 507 x 563 ) / 285441

= 507 / 563

= 507

Step2:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 507, 563, 660, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 278, 552, 982
• GCD of 414, 840, 535, 380
• GCD of 914, 454, 751, 195
• GCD of 949, 768, 954, 405
• GCD of 502, 595, 968, 960

Given numbers are 507, 563, 660, 972
The greatest common divisor of numbers 507, 563, 660, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 563, 660, 972 is 1.

1. What is the GCD of 507, 563, 660, 972?

GCD of given numbers 507, 563, 660, 972 is 1

2. How to calculate the greatest common divisor of 507, 563, 660, 972?

We can find the highest common divisor of 507, 563, 660, 972 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 507, 563, 660, 972 i.e 1.

3. How can I use the GCD of 507, 563, 660, 972Calculator?

Out the numbers 507, 563, 660, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.