GCD of 825, 645, 137 Calculator

Given Input numbers are 825, 645, 137

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 825, 645, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 645, 137 is 1.

Therefore, GCD of numbers 825, 645, 137 is 1

Given Input Data is 825, 645, 137

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 137 is 137

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(825, 645) = 35475

GCD(825, 645) = ( 825 x 645 ) / 35475

GCD(825, 645) = 532125 / 35475

GCD(825, 645) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 137

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

LCM(15, 137) = 2055

GCD(15, 137) = ( 15 x 137 ) / 2055

GCD(15, 137) = 2055 / 2055

GCD(15, 137) = 1

GCD of 825, 645, 137 is 1

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1. What is the GCD of 825, 645, 137?

GCD of 825, 645, 137 is 1

2. Where do I get the detailed procedure to find GCD of 825, 645, 137?

You can find a detailed procedure to find GCD of 825, 645, 137 on our page.

3. How to find GCD of 825, 645, 137 on a calculator?

You can find the GCD of 825, 645, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.