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GCD of 677, 718, 861, 920 Calculator

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


Online GCD Calculator is useful to find the GCD of 677, 718, 861, 920 quickly. Get the easiest ways to solve the greatest common divisor of 677, 718, 861, 920 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 677, 718, 861, 920 with Factoring?

Given Input numbers are 677, 718, 861, 920

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

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 718 :

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

1, 2, 359, 718

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

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


GCD of numbers is the greatest common divisor

So, the GCD (677, 718, 861, 920) = 1.

Find GCD of 677, 718, 861, 920 using Prime Factorization

Given numbers are 677, 718, 861, 920

The list of prime factors of all numbers are

Prime factors of 677 are 677

Prime factors of 718 are 2 x 359

Prime factors of 861 are 3 x 7 x 41

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

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

Steps to Calculate GCD of 677, 718, 861, 920 using LCM Formula

Given numbers are 677, 718, 861, 920

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

Apply this formula for all numbers.

Step1:

LCM(677, 718) = 486086

GCD(677, 718) = ( 677 x 718 ) / 486086

= 677 / 718

= 677


Step2:

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

= 1 / 861

= 1


Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1


So, Greatest Common Divisor of 677, 718, 861, 920 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 677, 718, 861, 920

Given numbers are 677, 718, 861, 920
The greatest common divisor of numbers 677, 718, 861, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 677, 718, 861, 920 is 1.

FAQs on GCD of 677, 718, 861, 920 Calculator

1. What is the GCD of 677, 718, 861, 920?

GCD of given numbers 677, 718, 861, 920 is 1


2. How to calculate the greatest common divisor of 677, 718, 861, 920?

We can find the highest common divisor of 677, 718, 861, 920 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 677, 718, 861, 920 i.e 1.


3. How can I use the GCD of 677, 718, 861, 920Calculator?

Out the numbers 677, 718, 861, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.