GCD of 117, 921, 508, 109 Calculator

Given Input numbers are 117, 921, 508, 109

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 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 117, 921, 508, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 921, 508, 109 is 1.

Therefore, GCD of numbers 117, 921, 508, 109 is 1

Given Input Data is 117, 921, 508, 109

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 921 is 3 x 307

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 109 is 109

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, 921) = 35919

GCD(117, 921) = ( 117 x 921 ) / 35919

GCD(117, 921) = 107757 / 35919

GCD(117, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 508

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

LCM(3, 508) = 1524

GCD(3, 508) = ( 3 x 508 ) / 1524

GCD(3, 508) = 1524 / 1524

GCD(3, 508) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 117, 921, 508, 109 is 1

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1. What is the GCD of 117, 921, 508, 109?

GCD of 117, 921, 508, 109 is 1

2. Where do I get the detailed procedure to find GCD of 117, 921, 508, 109?

You can find a detailed procedure to find GCD of 117, 921, 508, 109 on our page.

3. How to find GCD of 117, 921, 508, 109 on a calculator?

You can find the GCD of 117, 921, 508, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.