GCD of 252, 798, 109, 316 Calculator

Given Input numbers are 252, 798, 109, 316

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 109

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

1, 109

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 252, 798, 109, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 798, 109, 316 is 1.

Therefore, GCD of numbers 252, 798, 109, 316 is 1

Given Input Data is 252, 798, 109, 316

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 109 is 109

Prime Factorization of 316 is 2 x 2 x 79

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(252, 798) = 4788

GCD(252, 798) = ( 252 x 798 ) / 4788

GCD(252, 798) = 201096 / 4788

GCD(252, 798) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 109

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

LCM(42, 109) = 4578

GCD(42, 109) = ( 42 x 109 ) / 4578

GCD(42, 109) = 4578 / 4578

GCD(42, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 252, 798, 109, 316 is 1

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1. What is the GCD of 252, 798, 109, 316?

GCD of 252, 798, 109, 316 is 1

2. Where do I get the detailed procedure to find GCD of 252, 798, 109, 316?

You can find a detailed procedure to find GCD of 252, 798, 109, 316 on our page.

3. How to find GCD of 252, 798, 109, 316 on a calculator?

You can find the GCD of 252, 798, 109, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.