GCD of 972, 908, 742, 628 Calculator

Given Input numbers are 972, 908, 742, 628

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 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

GCD of numbers is the greatest common divisor

So, the GCD (972, 908, 742, 628) = 2.

Given numbers are 972, 908, 742, 628

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 908 are 2 x 2 x 227

Prime factors of 742 are 2 x 7 x 53

Prime factors of 628 are 2 x 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 972, 908, 742, 628 is 2.

Given numbers are 972, 908, 742, 628

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

Apply this formula for all numbers.

Step1:

LCM(972, 908) = 220644

GCD(972, 908) = ( 972 x 908 ) / 220644

= 972 / 908

= 972

Step2:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4

Step3:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

So, Greatest Common Divisor of 972, 908, 742, 628 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 626, 911, 351
• GCD of 256, 925, 743, 801
• GCD of 142, 229, 419, 448
• GCD of 999, 540, 588, 686
• GCD of 743, 381, 130, 363

Given numbers are 972, 908, 742, 628
The greatest common divisor of numbers 972, 908, 742, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 908, 742, 628 is 2.

1. What is the GCD of 972, 908, 742, 628?

GCD of given numbers 972, 908, 742, 628 is 2

2. How to calculate the greatest common divisor of 972, 908, 742, 628?

We can find the highest common divisor of 972, 908, 742, 628 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, 908, 742, 628 i.e 2.

3. How can I use the GCD of 972, 908, 742, 628Calculator?

Out the numbers 972, 908, 742, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.