GCD of 109, 397, 47, 252 Calculator

Given Input numbers are 109, 397, 47, 252

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

Divisors of 109

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

1, 109

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

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

Greatest Common Divisior

We found the divisors of 109, 397, 47, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 397, 47, 252 is 1.

Therefore, GCD of numbers 109, 397, 47, 252 is 1

Given Input Data is 109, 397, 47, 252

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

Prime Factorization of 109 is 109

Prime Factorization of 397 is 397

Prime Factorization of 47 is 47

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

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(109, 397) = 43273

GCD(109, 397) = ( 109 x 397 ) / 43273

GCD(109, 397) = 43273 / 43273

GCD(109, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 109, 397, 47, 252 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 993, 70, 283
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• GCD of 834, 872, 42, 619

1. What is the GCD of 109, 397, 47, 252?

GCD of 109, 397, 47, 252 is 1

2. Where do I get the detailed procedure to find GCD of 109, 397, 47, 252?

You can find a detailed procedure to find GCD of 109, 397, 47, 252 on our page.

3. How to find GCD of 109, 397, 47, 252 on a calculator?

You can find the GCD of 109, 397, 47, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.