GCD of 972, 375, 65, 600 Calculator

Given Input numbers are 972, 375, 65, 600

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 972, 375, 65, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 375, 65, 600 is 1.

Therefore, GCD of numbers 972, 375, 65, 600 is 1

Given Input Data is 972, 375, 65, 600

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 65 is 5 x 13

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(972, 375) = 121500

GCD(972, 375) = ( 972 x 375 ) / 121500

GCD(972, 375) = 364500 / 121500

GCD(972, 375) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 65

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

LCM(3, 65) = 195

GCD(3, 65) = ( 3 x 65 ) / 195

GCD(3, 65) = 195 / 195

GCD(3, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 972, 375, 65, 600 is 1

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1. What is the GCD of 972, 375, 65, 600?

GCD of 972, 375, 65, 600 is 1

2. Where do I get the detailed procedure to find GCD of 972, 375, 65, 600?

You can find a detailed procedure to find GCD of 972, 375, 65, 600 on our page.

3. How to find GCD of 972, 375, 65, 600 on a calculator?

You can find the GCD of 972, 375, 65, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.