GCD of 972, 360, 696, 420 Calculator

Given Input numbers are 972, 360, 696, 420

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (972, 360, 696, 420) = 12.

Given numbers are 972, 360, 696, 420

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 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2² x 3¹

Therefore, GCD of 972, 360, 696, 420 is 12.

Given numbers are 972, 360, 696, 420

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, 696) = 2088

GCD(36, 696) = ( 36 x 696 ) / 2088

= 36 / 696

= 36

Step3:

LCM(12, 420) = 420

GCD(12, 420) = ( 12 x 420 ) / 420

= 12 / 420

= 12

So, Greatest Common Divisor of 972, 360, 696, 420 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 258, 595, 341
• GCD of 206, 555, 679, 494
• GCD of 524, 806, 842, 914
• GCD of 408, 503, 614, 531
• GCD of 962, 202, 923, 397

Given numbers are 972, 360, 696, 420
The greatest common divisor of numbers 972, 360, 696, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 360, 696, 420 is 12.

1. What is the GCD of 972, 360, 696, 420?

GCD of given numbers 972, 360, 696, 420 is 12

2. How to calculate the greatest common divisor of 972, 360, 696, 420?

We can find the highest common divisor of 972, 360, 696, 420 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, 696, 420 i.e 12.

3. How can I use the GCD of 972, 360, 696, 420Calculator?

Out the numbers 972, 360, 696, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.