GCD of 977, 774, 10, 924 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, 774, 10, 924 i.e. 1 largest integer that divides all the numbers equally.

GCD of 977, 774, 10, 924 is 1

GCD(977, 774, 10, 924) = 1

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

GCD of

GCD of numbers 977, 774, 10, 924 is 1

GCD(977, 774, 10, 924) = 1

GCD of 977,774,10,924 Calculator

GCDof 977,774,10,924 is 1

Given Input numbers are 977, 774, 10, 924

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 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 977, 774, 10, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 774, 10, 924 is 1.

Therefore, GCD of numbers 977, 774, 10, 924 is 1

Finding GCD of 977, 774, 10, 924 using Prime Factorization

Given Input Data is 977, 774, 10, 924

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

Prime Factorization of 977 is 977

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 10 is 2 x 5

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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

Finding GCD of 977, 774, 10, 924 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, 774) = 756198

GCD(977, 774) = ( 977 x 774 ) / 756198

GCD(977, 774) = 756198 / 756198

GCD(977, 774) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 977, 774, 10, 924 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 977, 774, 10, 924

1. What is the GCD of 977, 774, 10, 924?

GCD of 977, 774, 10, 924 is 1


2. Where do I get the detailed procedure to find GCD of 977, 774, 10, 924?

You can find a detailed procedure to find GCD of 977, 774, 10, 924 on our page.


3. How to find GCD of 977, 774, 10, 924 on a calculator?

You can find the GCD of 977, 774, 10, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.