GCD of 972, 926, 286, 216 Calculator

Given Input numbers are 972, 926, 286, 216

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 926 :

The positive integer divisors of 926 that completely divides 926 are.

1, 2, 463, 926

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (972, 926, 286, 216) = 2.

Given numbers are 972, 926, 286, 216

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 926 are 2 x 463

Prime factors of 286 are 2 x 11 x 13

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 972, 926, 286, 216 is 2.

Given numbers are 972, 926, 286, 216

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

Apply this formula for all numbers.

Step1:

LCM(972, 926) = 450036

GCD(972, 926) = ( 972 x 926 ) / 450036

= 972 / 926

= 972

Step2:

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

= 2 / 286

= 2

Step3:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

So, Greatest Common Divisor of 972, 926, 286, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 779, 964, 648
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Given numbers are 972, 926, 286, 216
The greatest common divisor of numbers 972, 926, 286, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 926, 286, 216 is 2.

1. What is the GCD of 972, 926, 286, 216?

GCD of given numbers 972, 926, 286, 216 is 2

2. How to calculate the greatest common divisor of 972, 926, 286, 216?

We can find the highest common divisor of 972, 926, 286, 216 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, 926, 286, 216 i.e 2.

3. How can I use the GCD of 972, 926, 286, 216Calculator?

Out the numbers 972, 926, 286, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.