GCD of 975, 845, 962 Calculator

Given Input numbers are 975, 845, 962

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 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 975, 845, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 845, 962 is 13.

Therefore, GCD of numbers 975, 845, 962 is 13

Given Input Data is 975, 845, 962

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 845 is 5 x 13 x 13

Prime Factorization of 962 is 2 x 13 x 37

Highest common occurrences in the given inputs are 13¹

Multiplying them we get the GCD as 13

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, 845) = 12675

GCD(975, 845) = ( 975 x 845 ) / 12675

GCD(975, 845) = 823875 / 12675

GCD(975, 845) = 65

Step2:

Here we consider the GCD from the above i.e. 65 as first number and the next as 962

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

LCM(65, 962) = 4810

GCD(65, 962) = ( 65 x 962 ) / 4810

GCD(65, 962) = 62530 / 4810

GCD(65, 962) = 13

GCD of 975, 845, 962 is 13

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1. What is the GCD of 975, 845, 962?

GCD of 975, 845, 962 is 13

2. Where do I get the detailed procedure to find GCD of 975, 845, 962?

You can find a detailed procedure to find GCD of 975, 845, 962 on our page.

3. How to find GCD of 975, 845, 962 on a calculator?

You can find the GCD of 975, 845, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.