GCD of 972, 620, 84, 676 Calculator

Given Input numbers are 972, 620, 84, 676

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 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (972, 620, 84, 676) = 4.

Given numbers are 972, 620, 84, 676

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 620 are 2 x 2 x 5 x 31

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2²

Therefore, GCD of 972, 620, 84, 676 is 4.

Given numbers are 972, 620, 84, 676

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

Apply this formula for all numbers.

Step1:

LCM(972, 620) = 150660

GCD(972, 620) = ( 972 x 620 ) / 150660

= 972 / 620

= 972

Step2:

LCM(4, 84) = 84

GCD(4, 84) = ( 4 x 84 ) / 84

= 4 / 84

= 4

Step3:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4

So, Greatest Common Divisor of 972, 620, 84, 676 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 755, 63, 717
• GCD of 902, 607, 64, 891
• GCD of 664, 806, 74, 526
• GCD of 662, 702, 71, 766
• GCD of 880, 753, 33, 201

Given numbers are 972, 620, 84, 676
The greatest common divisor of numbers 972, 620, 84, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 620, 84, 676 is 4.

1. What is the GCD of 972, 620, 84, 676?

GCD of given numbers 972, 620, 84, 676 is 4

2. How to calculate the greatest common divisor of 972, 620, 84, 676?

We can find the highest common divisor of 972, 620, 84, 676 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, 620, 84, 676 i.e 4.

3. How can I use the GCD of 972, 620, 84, 676Calculator?

Out the numbers 972, 620, 84, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.