GCD of 920, 452, 718 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 920, 452, 718 i.e. 2 largest integer that divides all the numbers equally.

GCD of 920, 452, 718 is 2

GCD(920, 452, 718) = 2

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

GCD of

GCD of numbers 920, 452, 718 is 2

GCD(920, 452, 718) = 2

GCD of 920,452,718 Calculator

GCDof 920,452,718 is 2

Given Input numbers are 920, 452, 718

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 920, 452, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 452, 718 is 2.

Therefore, GCD of numbers 920, 452, 718 is 2

Finding GCD of 920, 452, 718 using Prime Factorization

Given Input Data is 920, 452, 718

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 718 is 2 x 359

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 920, 452, 718 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(920, 452) = 103960

GCD(920, 452) = ( 920 x 452 ) / 103960

GCD(920, 452) = 415840 / 103960

GCD(920, 452) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 718

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

LCM(4, 718) = 1436

GCD(4, 718) = ( 4 x 718 ) / 1436

GCD(4, 718) = 2872 / 1436

GCD(4, 718) = 2

GCD of 920, 452, 718 is 2

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FAQs on GCD of numbers 920, 452, 718

1. What is the GCD of 920, 452, 718?

GCD of 920, 452, 718 is 2

2. Where do I get the detailed procedure to find GCD of 920, 452, 718?

You can find a detailed procedure to find GCD of 920, 452, 718 on our page.

3. How to find GCD of 920, 452, 718 on a calculator?

You can find the GCD of 920, 452, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.