GCD of 690, 912, 979 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 690, 912, 979 i.e. 1 largest integer that divides all the numbers equally.

GCD of 690, 912, 979 is 1

GCD(690, 912, 979) = 1

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

GCD of

GCD of numbers 690, 912, 979 is 1

GCD(690, 912, 979) = 1

GCD of 690,912,979 Calculator

GCDof 690,912,979 is 1

Given Input numbers are 690, 912, 979

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 690, 912, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 912, 979 is 1.

Therefore, GCD of numbers 690, 912, 979 is 1

Finding GCD of 690, 912, 979 using Prime Factorization

Given Input Data is 690, 912, 979

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 979 is 11 x 89

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

Finding GCD of 690, 912, 979 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(690, 912) = 104880

GCD(690, 912) = ( 690 x 912 ) / 104880

GCD(690, 912) = 629280 / 104880

GCD(690, 912) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 979

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

LCM(6, 979) = 5874

GCD(6, 979) = ( 6 x 979 ) / 5874

GCD(6, 979) = 5874 / 5874

GCD(6, 979) = 1

GCD of 690, 912, 979 is 1

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FAQs on GCD of numbers 690, 912, 979

1. What is the GCD of 690, 912, 979?

GCD of 690, 912, 979 is 1

2. Where do I get the detailed procedure to find GCD of 690, 912, 979?

You can find a detailed procedure to find GCD of 690, 912, 979 on our page.

3. How to find GCD of 690, 912, 979 on a calculator?

You can find the GCD of 690, 912, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.