GCD of 972, 360, 385, 126 Calculator

Given Input numbers are 972, 360, 385, 126

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (972, 360, 385, 126) = 1.

Given numbers are 972, 360, 385, 126

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 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 385 are 5 x 7 x 11

Prime factors of 126 are 2 x 3 x 3 x 7

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

Given numbers are 972, 360, 385, 126

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

Apply this formula for all numbers.

Step1:

LCM(972, 360) = 9720

GCD(972, 360) = ( 972 x 360 ) / 9720

= 972 / 360

= 972

Step2:

LCM(36, 385) = 13860

GCD(36, 385) = ( 36 x 385 ) / 13860

= 36 / 385

= 36

Step3:

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

= 1 / 126

= 1

So, Greatest Common Divisor of 972, 360, 385, 126 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 495, 822, 855
• GCD of 886, 991, 731, 995
• GCD of 257, 839, 365, 802
• GCD of 849, 605, 953, 951
• GCD of 455, 270, 829, 440

Given numbers are 972, 360, 385, 126
The greatest common divisor of numbers 972, 360, 385, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 360, 385, 126 is 1.

1. What is the GCD of 972, 360, 385, 126?

GCD of given numbers 972, 360, 385, 126 is 1

2. How to calculate the greatest common divisor of 972, 360, 385, 126?

We can find the highest common divisor of 972, 360, 385, 126 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, 360, 385, 126 i.e 1.

3. How can I use the GCD of 972, 360, 385, 126Calculator?

Out the numbers 972, 360, 385, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.