GCD of 249, 701, 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 249, 701, 107 i.e. 1 largest integer that divides all the numbers equally.

GCD of 249, 701, 107 is 1

GCD(249, 701, 107) = 1

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

GCD of

GCD of numbers 249, 701, 107 is 1

GCD(249, 701, 107) = 1

GCD of 249,701,107 Calculator

GCDof 249,701,107 is 1

Given Input numbers are 249, 701, 107

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

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 249, 701, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 701, 107 is 1.

Therefore, GCD of numbers 249, 701, 107 is 1

Finding GCD of 249, 701, 107 using Prime Factorization

Given Input Data is 249, 701, 107

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 701 is 701

Prime Factorization of 107 is 107

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

Finding GCD of 249, 701, 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(249, 701) = 174549

GCD(249, 701) = ( 249 x 701 ) / 174549

GCD(249, 701) = 174549 / 174549

GCD(249, 701) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 249, 701, 107 is 1

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FAQs on GCD of numbers 249, 701, 107

1. What is the GCD of 249, 701, 107?

GCD of 249, 701, 107 is 1

2. Where do I get the detailed procedure to find GCD of 249, 701, 107?

You can find a detailed procedure to find GCD of 249, 701, 107 on our page.

3. How to find GCD of 249, 701, 107 on a calculator?

You can find the GCD of 249, 701, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.