GCD of 508, 970, 165, 972 Calculator

Given Input numbers are 508, 970, 165, 972

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

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 (508, 970, 165, 972) = 1.

Given numbers are 508, 970, 165, 972

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 970 are 2 x 5 x 97

Prime factors of 165 are 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 508, 970, 165, 972

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

Apply this formula for all numbers.

Step1:

LCM(508, 970) = 246380

GCD(508, 970) = ( 508 x 970 ) / 246380

= 508 / 970

= 508

Step2:

LCM(2, 165) = 330

GCD(2, 165) = ( 2 x 165 ) / 330

= 2 / 165

= 2

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 508, 970, 165, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 175, 991, 838
• GCD of 161, 539, 716, 668
• GCD of 285, 819, 730, 903
• GCD of 496, 380, 538, 761
• GCD of 755, 354, 670, 182

Given numbers are 508, 970, 165, 972
The greatest common divisor of numbers 508, 970, 165, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 970, 165, 972 is 1.

1. What is the GCD of 508, 970, 165, 972?

GCD of given numbers 508, 970, 165, 972 is 1

2. How to calculate the greatest common divisor of 508, 970, 165, 972?

We can find the highest common divisor of 508, 970, 165, 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 508, 970, 165, 972 i.e 1.

3. How can I use the GCD of 508, 970, 165, 972Calculator?

Out the numbers 508, 970, 165, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.