GCD of 975, 676, 195 Calculator

Given Input numbers are 975, 676, 195

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 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 975, 676, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 676, 195 is 13.

Therefore, GCD of numbers 975, 676, 195 is 13

Given Input Data is 975, 676, 195

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 676 is 2 x 2 x 13 x 13

Prime Factorization of 195 is 3 x 5 x 13

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, 676) = 50700

GCD(975, 676) = ( 975 x 676 ) / 50700

GCD(975, 676) = 659100 / 50700

GCD(975, 676) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 195

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

LCM(13, 195) = 195

GCD(13, 195) = ( 13 x 195 ) / 195

GCD(13, 195) = 2535 / 195

GCD(13, 195) = 13

GCD of 975, 676, 195 is 13

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1. What is the GCD of 975, 676, 195?

GCD of 975, 676, 195 is 13

2. Where do I get the detailed procedure to find GCD of 975, 676, 195?

You can find a detailed procedure to find GCD of 975, 676, 195 on our page.

3. How to find GCD of 975, 676, 195 on a calculator?

You can find the GCD of 975, 676, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.