GCD of 472, 548, 107 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 472, 548, 107 i.e. 1 largest integer that divides all the numbers equally.

GCD of 472, 548, 107 is 1

GCD(472, 548, 107) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 472, 548, 107 is 1

GCD(472, 548, 107) = 1

GCD of 472,548,107 Calculator

GCDof 472,548,107 is 1

Given Input numbers are 472, 548, 107

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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 472, 548, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 548, 107 is 1.

Therefore, GCD of numbers 472, 548, 107 is 1

Finding GCD of 472, 548, 107 using Prime Factorization

Given Input Data is 472, 548, 107

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 107 is 107

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 472, 548, 107 using LCM Formula

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(472, 548) = 64664

GCD(472, 548) = ( 472 x 548 ) / 64664

GCD(472, 548) = 258656 / 64664

GCD(472, 548) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 107

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

LCM(4, 107) = 428

GCD(4, 107) = ( 4 x 107 ) / 428

GCD(4, 107) = 428 / 428

GCD(4, 107) = 1

GCD of 472, 548, 107 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 472, 548, 107

1. What is the GCD of 472, 548, 107?

GCD of 472, 548, 107 is 1

2. Where do I get the detailed procedure to find GCD of 472, 548, 107?

You can find a detailed procedure to find GCD of 472, 548, 107 on our page.

3. How to find GCD of 472, 548, 107 on a calculator?

You can find the GCD of 472, 548, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.