GCD of 130, 916, 946 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 130, 916, 946 i.e. 2 largest integer that divides all the numbers equally.

GCD of 130, 916, 946 is 2

GCD(130, 916, 946) = 2

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

GCD of

GCD of numbers 130, 916, 946 is 2

GCD(130, 916, 946) = 2

GCD of 130,916,946 Calculator

GCDof 130,916,946 is 2

Given Input numbers are 130, 916, 946

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 130, 916, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 916, 946 is 2.

Therefore, GCD of numbers 130, 916, 946 is 2

Finding GCD of 130, 916, 946 using Prime Factorization

Given Input Data is 130, 916, 946

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 946 is 2 x 11 x 43

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 130, 916, 946 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(130, 916) = 59540

GCD(130, 916) = ( 130 x 916 ) / 59540

GCD(130, 916) = 119080 / 59540

GCD(130, 916) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 946

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

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

GCD(2, 946) = 1892 / 946

GCD(2, 946) = 2

GCD of 130, 916, 946 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 130, 916, 946

1. What is the GCD of 130, 916, 946?

GCD of 130, 916, 946 is 2


2. Where do I get the detailed procedure to find GCD of 130, 916, 946?

You can find a detailed procedure to find GCD of 130, 916, 946 on our page.


3. How to find GCD of 130, 916, 946 on a calculator?

You can find the GCD of 130, 916, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.