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GCD of 988, 585, 680 Calculator

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


Online GCD Calculator is useful to find the GCD of 988, 585, 680 quickly. Get the easiest ways to solve the greatest common divisor of 988, 585, 680 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 988, 585, 680 with Factoring?

Given Input numbers are 988, 585, 680

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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


GCD of numbers is the greatest common divisor

So, the GCD (988, 585, 680) = 1.

Find GCD of 988, 585, 680 using Prime Factorization

Given numbers are 988, 585, 680

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 585 are 3 x 3 x 5 x 13

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

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

Steps to Calculate GCD of 988, 585, 680 using LCM Formula

Given numbers are 988, 585, 680

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

Apply this formula for all numbers.

Step1:

LCM(988, 585) = 44460

GCD(988, 585) = ( 988 x 585 ) / 44460

= 988 / 585

= 988


Step2:

LCM(13, 680) = 8840

GCD(13, 680) = ( 13 x 680 ) / 8840

= 13 / 680

= 13


So, Greatest Common Divisor of 988, 585, 680 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 988, 585, 680

Given numbers are 988, 585, 680
The greatest common divisor of numbers 988, 585, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 585, 680 is 1.

FAQs on GCD of 988, 585, 680 Calculator

1. What is the GCD of 988, 585, 680?

GCD of given numbers 988, 585, 680 is 1


2. How to calculate the greatest common divisor of 988, 585, 680?

We can find the highest common divisor of 988, 585, 680 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 988, 585, 680 i.e 1.


3. How can I use the GCD of 988, 585, 680Calculator?

Out the numbers 988, 585, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.