GCD of 156, 654, 972 Calculator

Given Input numbers are 156, 654, 972

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

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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 (156, 654, 972) = 6.

Given numbers are 156, 654, 972

The list of prime factors of all numbers are

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 654 are 2 x 3 x 109

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 156, 654, 972 is 6.

Given numbers are 156, 654, 972

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

Apply this formula for all numbers.

Step1:

LCM(156, 654) = 17004

GCD(156, 654) = ( 156 x 654 ) / 17004

= 156 / 654

= 156

Step2:

LCM(6, 972) = 972

GCD(6, 972) = ( 6 x 972 ) / 972

= 6 / 972

= 6

So, Greatest Common Divisor of 156, 654, 972 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 909, 741
• GCD of 850, 721, 507
• GCD of 810, 873, 492
• GCD of 103, 920, 420
• GCD of 884, 446, 907

Given numbers are 156, 654, 972
The greatest common divisor of numbers 156, 654, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 654, 972 is 6.

1. What is the GCD of 156, 654, 972?

GCD of given numbers 156, 654, 972 is 6

2. How to calculate the greatest common divisor of 156, 654, 972?

We can find the highest common divisor of 156, 654, 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 156, 654, 972 i.e 6.

3. How can I use the GCD of 156, 654, 972Calculator?

Out the numbers 156, 654, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.