GCD of 101, 422, 518, 109 Calculator

Given Input numbers are 101, 422, 518, 109

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

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 101, 422, 518, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 422, 518, 109 is 1.

Therefore, GCD of numbers 101, 422, 518, 109 is 1

Given Input Data is 101, 422, 518, 109

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

Prime Factorization of 101 is 101

Prime Factorization of 422 is 2 x 211

Prime Factorization of 518 is 2 x 7 x 37

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(101, 422) = 42622

GCD(101, 422) = ( 101 x 422 ) / 42622

GCD(101, 422) = 42622 / 42622

GCD(101, 422) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 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 101, 422, 518, 109 is 1

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1. What is the GCD of 101, 422, 518, 109?

GCD of 101, 422, 518, 109 is 1

2. Where do I get the detailed procedure to find GCD of 101, 422, 518, 109?

You can find a detailed procedure to find GCD of 101, 422, 518, 109 on our page.

3. How to find GCD of 101, 422, 518, 109 on a calculator?

You can find the GCD of 101, 422, 518, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.