GCD of 972, 970, 898, 812 Calculator

Given Input numbers are 972, 970, 898, 812

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 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

GCD of numbers is the greatest common divisor

So, the GCD (972, 970, 898, 812) = 2.

Given numbers are 972, 970, 898, 812

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 970 are 2 x 5 x 97

Prime factors of 898 are 2 x 449

Prime factors of 812 are 2 x 2 x 7 x 29

The highest common occurrence is 2¹

Therefore, GCD of 972, 970, 898, 812 is 2.

Given numbers are 972, 970, 898, 812

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

Apply this formula for all numbers.

Step1:

LCM(972, 970) = 471420

GCD(972, 970) = ( 972 x 970 ) / 471420

= 972 / 970

= 972

Step2:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

Step3:

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

= 2 / 812

= 2

So, Greatest Common Divisor of 972, 970, 898, 812 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 959, 417, 491
• GCD of 134, 757, 829, 908
• GCD of 689, 729, 445, 850
• GCD of 349, 988, 681, 200
• GCD of 200, 723, 424, 422

Given numbers are 972, 970, 898, 812
The greatest common divisor of numbers 972, 970, 898, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 970, 898, 812 is 2.

1. What is the GCD of 972, 970, 898, 812?

GCD of given numbers 972, 970, 898, 812 is 2

2. How to calculate the greatest common divisor of 972, 970, 898, 812?

We can find the highest common divisor of 972, 970, 898, 812 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, 970, 898, 812 i.e 2.

3. How can I use the GCD of 972, 970, 898, 812Calculator?

Out the numbers 972, 970, 898, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.