GCD of 920, 615, 392, 931 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 920, 615, 392, 931 i.e. 1 largest integer that divides all the numbers equally.

GCD of 920, 615, 392, 931 is 1

GCD(920, 615, 392, 931) = 1

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

GCD of

GCD of numbers 920, 615, 392, 931 is 1

GCD(920, 615, 392, 931) = 1

GCD of 920,615,392,931 Calculator

GCDof 920,615,392,931 is 1

Given Input numbers are 920, 615, 392, 931

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 920, 615, 392, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 615, 392, 931 is 1.

Therefore, GCD of numbers 920, 615, 392, 931 is 1

Finding GCD of 920, 615, 392, 931 using Prime Factorization

Given Input Data is 920, 615, 392, 931

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 931 is 7 x 7 x 19

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

Finding GCD of 920, 615, 392, 931 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(920, 615) = 113160

GCD(920, 615) = ( 920 x 615 ) / 113160

GCD(920, 615) = 565800 / 113160

GCD(920, 615) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 392

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

LCM(5, 392) = 1960

GCD(5, 392) = ( 5 x 392 ) / 1960

GCD(5, 392) = 1960 / 1960

GCD(5, 392) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 931

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

LCM(1, 931) = 931

GCD(1, 931) = ( 1 x 931 ) / 931

GCD(1, 931) = 931 / 931

GCD(1, 931) = 1

GCD of 920, 615, 392, 931 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 920, 615, 392, 931

1. What is the GCD of 920, 615, 392, 931?

GCD of 920, 615, 392, 931 is 1


2. Where do I get the detailed procedure to find GCD of 920, 615, 392, 931?

You can find a detailed procedure to find GCD of 920, 615, 392, 931 on our page.


3. How to find GCD of 920, 615, 392, 931 on a calculator?

You can find the GCD of 920, 615, 392, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.