GCD of 712, 680, 796 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 712, 680, 796 i.e. 4 largest integer that divides all the numbers equally.

GCD of 712, 680, 796 is 4

GCD(712, 680, 796) = 4

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

GCD of

GCD of numbers 712, 680, 796 is 4

GCD(712, 680, 796) = 4

GCD of 712,680,796 Calculator

GCDof 712,680,796 is 4

Given Input numbers are 712, 680, 796

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 712, 680, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 680, 796 is 4.

Therefore, GCD of numbers 712, 680, 796 is 4

Finding GCD of 712, 680, 796 using Prime Factorization

Given Input Data is 712, 680, 796

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 796 is 2 x 2 x 199

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 712, 680, 796 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(712, 680) = 60520

GCD(712, 680) = ( 712 x 680 ) / 60520

GCD(712, 680) = 484160 / 60520

GCD(712, 680) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 796

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

LCM(8, 796) = 1592

GCD(8, 796) = ( 8 x 796 ) / 1592

GCD(8, 796) = 6368 / 1592

GCD(8, 796) = 4

GCD of 712, 680, 796 is 4

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FAQs on GCD of numbers 712, 680, 796

1. What is the GCD of 712, 680, 796?

GCD of 712, 680, 796 is 4

2. Where do I get the detailed procedure to find GCD of 712, 680, 796?

You can find a detailed procedure to find GCD of 712, 680, 796 on our page.

3. How to find GCD of 712, 680, 796 on a calculator?

You can find the GCD of 712, 680, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.