GCD of 972, 718, 702, 212 Calculator

Given Input numbers are 972, 718, 702, 212

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 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

GCD of numbers is the greatest common divisor

So, the GCD (972, 718, 702, 212) = 2.

Given numbers are 972, 718, 702, 212

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 718 are 2 x 359

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 212 are 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 972, 718, 702, 212 is 2.

Given numbers are 972, 718, 702, 212

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

Apply this formula for all numbers.

Step1:

LCM(972, 718) = 348948

GCD(972, 718) = ( 972 x 718 ) / 348948

= 972 / 718

= 972

Step2:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

Step3:

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

= 2 / 212

= 2

So, Greatest Common Divisor of 972, 718, 702, 212 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 729, 357, 401
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• GCD of 237, 621, 468, 328
• GCD of 582, 344, 124, 424
• GCD of 746, 364, 668, 679

Given numbers are 972, 718, 702, 212
The greatest common divisor of numbers 972, 718, 702, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 718, 702, 212 is 2.

1. What is the GCD of 972, 718, 702, 212?

GCD of given numbers 972, 718, 702, 212 is 2

2. How to calculate the greatest common divisor of 972, 718, 702, 212?

We can find the highest common divisor of 972, 718, 702, 212 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, 718, 702, 212 i.e 2.

3. How can I use the GCD of 972, 718, 702, 212Calculator?

Out the numbers 972, 718, 702, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.