GCD of 117, 538, 657 Calculator

Given Input numbers are 117, 538, 657

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 117, 538, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 538, 657 is 1.

Therefore, GCD of numbers 117, 538, 657 is 1

Given Input Data is 117, 538, 657

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 538 is 2 x 269

Prime Factorization of 657 is 3 x 3 x 73

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(117, 538) = 62946

GCD(117, 538) = ( 117 x 538 ) / 62946

GCD(117, 538) = 62946 / 62946

GCD(117, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 117, 538, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 121, 132
• GCD of 221, 251, 718
• GCD of 658, 998, 171
• GCD of 196, 516, 946
• GCD of 798, 715, 294

1. What is the GCD of 117, 538, 657?

GCD of 117, 538, 657 is 1

2. Where do I get the detailed procedure to find GCD of 117, 538, 657?

You can find a detailed procedure to find GCD of 117, 538, 657 on our page.

3. How to find GCD of 117, 538, 657 on a calculator?

You can find the GCD of 117, 538, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.