GCD of 747, 977, 54, 729 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 747, 977, 54, 729 i.e. 1 largest integer that divides all the numbers equally.

GCD of 747, 977, 54, 729 is 1

GCD(747, 977, 54, 729) = 1

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

GCD of

GCD of numbers 747, 977, 54, 729 is 1

GCD(747, 977, 54, 729) = 1

GCD of 747,977,54,729 Calculator

GCDof 747,977,54,729 is 1

Given Input numbers are 747, 977, 54, 729

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 977

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

1, 977

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 747, 977, 54, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 977, 54, 729 is 1.

Therefore, GCD of numbers 747, 977, 54, 729 is 1

Finding GCD of 747, 977, 54, 729 using Prime Factorization

Given Input Data is 747, 977, 54, 729

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 977 is 977

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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

Finding GCD of 747, 977, 54, 729 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(747, 977) = 729819

GCD(747, 977) = ( 747 x 977 ) / 729819

GCD(747, 977) = 729819 / 729819

GCD(747, 977) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 747, 977, 54, 729 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 747, 977, 54, 729

1. What is the GCD of 747, 977, 54, 729?

GCD of 747, 977, 54, 729 is 1


2. Where do I get the detailed procedure to find GCD of 747, 977, 54, 729?

You can find a detailed procedure to find GCD of 747, 977, 54, 729 on our page.


3. How to find GCD of 747, 977, 54, 729 on a calculator?

You can find the GCD of 747, 977, 54, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.