GCD of 977, 586, 738 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 977, 586, 738 i.e. 1 largest integer that divides all the numbers equally.

GCD of 977, 586, 738 is 1

GCD(977, 586, 738) = 1

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

GCD of

GCD of numbers 977, 586, 738 is 1

GCD(977, 586, 738) = 1

GCD of 977,586,738 Calculator

GCDof 977,586,738 is 1

Given Input numbers are 977, 586, 738

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

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 977, 586, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 586, 738 is 1.

Therefore, GCD of numbers 977, 586, 738 is 1

Finding GCD of 977, 586, 738 using Prime Factorization

Given Input Data is 977, 586, 738

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

Prime Factorization of 977 is 977

Prime Factorization of 586 is 2 x 293

Prime Factorization of 738 is 2 x 3 x 3 x 41

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

Finding GCD of 977, 586, 738 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(977, 586) = 572522

GCD(977, 586) = ( 977 x 586 ) / 572522

GCD(977, 586) = 572522 / 572522

GCD(977, 586) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 977, 586, 738 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 977, 586, 738

1. What is the GCD of 977, 586, 738?

GCD of 977, 586, 738 is 1


2. Where do I get the detailed procedure to find GCD of 977, 586, 738?

You can find a detailed procedure to find GCD of 977, 586, 738 on our page.


3. How to find GCD of 977, 586, 738 on a calculator?

You can find the GCD of 977, 586, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.