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GCD of 920, 718, 680, 952 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 920, 718, 680, 952 quickly. Get the easiest ways to solve the greatest common divisor of 920, 718, 680, 952 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 920, 718, 680, 952 with Factoring?

Given Input numbers are 920, 718, 680, 952

In the factoring method, we have to find the divisors of all numbers

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952


GCD of numbers is the greatest common divisor

So, the GCD (920, 718, 680, 952) = 2.

Find GCD of 920, 718, 680, 952 using Prime Factorization

Given numbers are 920, 718, 680, 952

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 718 are 2 x 359

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The highest common occurrence is 21

Therefore, GCD of 920, 718, 680, 952 is 2.

Steps to Calculate GCD of 920, 718, 680, 952 using LCM Formula

Given numbers are 920, 718, 680, 952

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(920, 718) = 330280

GCD(920, 718) = ( 920 x 718 ) / 330280

= 920 / 718

= 920


Step2:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2


Step3:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2


So, Greatest Common Divisor of 920, 718, 680, 952 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 920, 718, 680, 952

Given numbers are 920, 718, 680, 952
The greatest common divisor of numbers 920, 718, 680, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 718, 680, 952 is 2.

FAQs on GCD of 920, 718, 680, 952 Calculator

1. What is the GCD of 920, 718, 680, 952?

GCD of given numbers 920, 718, 680, 952 is 2


2. How to calculate the greatest common divisor of 920, 718, 680, 952?

We can find the highest common divisor of 920, 718, 680, 952 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 920, 718, 680, 952 i.e 2.


3. How can I use the GCD of 920, 718, 680, 952Calculator?

Out the numbers 920, 718, 680, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.