GCD of 218, 747, 71 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 218, 747, 71 i.e. 1 largest integer that divides all the numbers equally.

GCD of 218, 747, 71 is 1

GCD(218, 747, 71) = 1

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

GCD of

GCD of numbers 218, 747, 71 is 1

GCD(218, 747, 71) = 1

GCD of 218,747,71 Calculator

GCDof 218,747,71 is 1

Given Input numbers are 218, 747, 71

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Greatest Common Divisior

We found the divisors of 218, 747, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 747, 71 is 1.

Therefore, GCD of numbers 218, 747, 71 is 1

Finding GCD of 218, 747, 71 using Prime Factorization

Given Input Data is 218, 747, 71

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 71 is 71

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

Finding GCD of 218, 747, 71 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(218, 747) = 162846

GCD(218, 747) = ( 218 x 747 ) / 162846

GCD(218, 747) = 162846 / 162846

GCD(218, 747) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

GCD of 218, 747, 71 is 1

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FAQs on GCD of numbers 218, 747, 71

1. What is the GCD of 218, 747, 71?

GCD of 218, 747, 71 is 1

2. Where do I get the detailed procedure to find GCD of 218, 747, 71?

You can find a detailed procedure to find GCD of 218, 747, 71 on our page.

3. How to find GCD of 218, 747, 71 on a calculator?

You can find the GCD of 218, 747, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.