GCD of 252, 374, 56, 107 Calculator

Given Input numbers are 252, 374, 56, 107

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 252, 374, 56, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 374, 56, 107 is 1.

Therefore, GCD of numbers 252, 374, 56, 107 is 1

Given Input Data is 252, 374, 56, 107

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 374 is 2 x 11 x 17

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 107 is 107

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, 374) = 47124

GCD(252, 374) = ( 252 x 374 ) / 47124

GCD(252, 374) = 94248 / 47124

GCD(252, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 107

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

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

GCD(2, 107) = 214 / 214

GCD(2, 107) = 1

GCD of 252, 374, 56, 107 is 1

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• GCD of 547, 454, 66, 250
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• GCD of 978, 764, 58, 909

1. What is the GCD of 252, 374, 56, 107?

GCD of 252, 374, 56, 107 is 1

2. Where do I get the detailed procedure to find GCD of 252, 374, 56, 107?

You can find a detailed procedure to find GCD of 252, 374, 56, 107 on our page.

3. How to find GCD of 252, 374, 56, 107 on a calculator?

You can find the GCD of 252, 374, 56, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.