GCD of 220, 940, 116 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 220, 940, 116 i.e. 4 largest integer that divides all the numbers equally.

GCD of 220, 940, 116 is 4

GCD(220, 940, 116) = 4

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

GCD of

GCD of numbers 220, 940, 116 is 4

GCD(220, 940, 116) = 4

GCD of 220,940,116 Calculator

GCDof 220,940,116 is 4

Given Input numbers are 220, 940, 116

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 220, 940, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 940, 116 is 4.

Therefore, GCD of numbers 220, 940, 116 is 4

Finding GCD of 220, 940, 116 using Prime Factorization

Given Input Data is 220, 940, 116

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 116 is 2 x 2 x 29

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 220, 940, 116 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(220, 940) = 10340

GCD(220, 940) = ( 220 x 940 ) / 10340

GCD(220, 940) = 206800 / 10340

GCD(220, 940) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 116

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

LCM(20, 116) = 580

GCD(20, 116) = ( 20 x 116 ) / 580

GCD(20, 116) = 2320 / 580

GCD(20, 116) = 4

GCD of 220, 940, 116 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 220, 940, 116

1. What is the GCD of 220, 940, 116?

GCD of 220, 940, 116 is 4

2. Where do I get the detailed procedure to find GCD of 220, 940, 116?

You can find a detailed procedure to find GCD of 220, 940, 116 on our page.

3. How to find GCD of 220, 940, 116 on a calculator?

You can find the GCD of 220, 940, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.