GCD of 750, 812, 451, 972 Calculator

Given Input numbers are 750, 812, 451, 972

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

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

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

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

Greatest Common Divisior

We found the divisors of 750, 812, 451, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 812, 451, 972 is 1.

Therefore, GCD of numbers 750, 812, 451, 972 is 1

Given Input Data is 750, 812, 451, 972

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 451 is 11 x 41

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

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(750, 812) = 304500

GCD(750, 812) = ( 750 x 812 ) / 304500

GCD(750, 812) = 609000 / 304500

GCD(750, 812) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 451

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

LCM(2, 451) = 902

GCD(2, 451) = ( 2 x 451 ) / 902

GCD(2, 451) = 902 / 902

GCD(2, 451) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 750, 812, 451, 972 is 1

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1. What is the GCD of 750, 812, 451, 972?

GCD of 750, 812, 451, 972 is 1

2. Where do I get the detailed procedure to find GCD of 750, 812, 451, 972?

You can find a detailed procedure to find GCD of 750, 812, 451, 972 on our page.

3. How to find GCD of 750, 812, 451, 972 on a calculator?

You can find the GCD of 750, 812, 451, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.