GCD of 975, 732, 953 Calculator

Given Input numbers are 975, 732, 953

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 975, 732, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 732, 953 is 1.

Therefore, GCD of numbers 975, 732, 953 is 1

Given Input Data is 975, 732, 953

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 953 is 953

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(975, 732) = 237900

GCD(975, 732) = ( 975 x 732 ) / 237900

GCD(975, 732) = 713700 / 237900

GCD(975, 732) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 953

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

LCM(3, 953) = 2859

GCD(3, 953) = ( 3 x 953 ) / 2859

GCD(3, 953) = 2859 / 2859

GCD(3, 953) = 1

GCD of 975, 732, 953 is 1

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1. What is the GCD of 975, 732, 953?

GCD of 975, 732, 953 is 1

2. Where do I get the detailed procedure to find GCD of 975, 732, 953?

You can find a detailed procedure to find GCD of 975, 732, 953 on our page.

3. How to find GCD of 975, 732, 953 on a calculator?

You can find the GCD of 975, 732, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.