GCD of 40, 948, 979, 780 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 40, 948, 979, 780 i.e. 1 largest integer that divides all the numbers equally.

GCD of 40, 948, 979, 780 is 1

GCD(40, 948, 979, 780) = 1

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

GCD of

GCD of numbers 40, 948, 979, 780 is 1

GCD(40, 948, 979, 780) = 1

GCD of 40,948,979,780 Calculator

GCDof 40,948,979,780 is 1

Given Input numbers are 40, 948, 979, 780

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 979

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

1, 11, 89, 979

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 40, 948, 979, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 948, 979, 780 is 1.

Therefore, GCD of numbers 40, 948, 979, 780 is 1

Finding GCD of 40, 948, 979, 780 using Prime Factorization

Given Input Data is 40, 948, 979, 780

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 979 is 11 x 89

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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

Finding GCD of 40, 948, 979, 780 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(40, 948) = 9480

GCD(40, 948) = ( 40 x 948 ) / 9480

GCD(40, 948) = 37920 / 9480

GCD(40, 948) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 979

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

LCM(4, 979) = 3916

GCD(4, 979) = ( 4 x 979 ) / 3916

GCD(4, 979) = 3916 / 3916

GCD(4, 979) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 40, 948, 979, 780 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 40, 948, 979, 780

1. What is the GCD of 40, 948, 979, 780?

GCD of 40, 948, 979, 780 is 1


2. Where do I get the detailed procedure to find GCD of 40, 948, 979, 780?

You can find a detailed procedure to find GCD of 40, 948, 979, 780 on our page.


3. How to find GCD of 40, 948, 979, 780 on a calculator?

You can find the GCD of 40, 948, 979, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.