GCD of 972, 405, 472, 102 Calculator

Given Input numbers are 972, 405, 472, 102

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 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (972, 405, 472, 102) = 1.

Given numbers are 972, 405, 472, 102

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 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 102 are 2 x 3 x 17

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

Given numbers are 972, 405, 472, 102

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

Apply this formula for all numbers.

Step1:

LCM(972, 405) = 4860

GCD(972, 405) = ( 972 x 405 ) / 4860

= 972 / 405

= 972

Step2:

LCM(81, 472) = 38232

GCD(81, 472) = ( 81 x 472 ) / 38232

= 81 / 472

= 81

Step3:

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

= 1 / 102

= 1

So, Greatest Common Divisor of 972, 405, 472, 102 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 846, 746, 906
• GCD of 665, 387, 282, 591
• GCD of 989, 558, 641, 157
• GCD of 625, 737, 512, 961
• GCD of 213, 883, 707, 160

Given numbers are 972, 405, 472, 102
The greatest common divisor of numbers 972, 405, 472, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 405, 472, 102 is 1.

1. What is the GCD of 972, 405, 472, 102?

GCD of given numbers 972, 405, 472, 102 is 1

2. How to calculate the greatest common divisor of 972, 405, 472, 102?

We can find the highest common divisor of 972, 405, 472, 102 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, 405, 472, 102 i.e 1.

3. How can I use the GCD of 972, 405, 472, 102Calculator?

Out the numbers 972, 405, 472, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.