GCD of 938, 459, 91, 220 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 938, 459, 91, 220 i.e. 1 largest integer that divides all the numbers equally.

GCD of 938, 459, 91, 220 is 1

GCD(938, 459, 91, 220) = 1

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

GCD of

GCD of numbers 938, 459, 91, 220 is 1

GCD(938, 459, 91, 220) = 1

GCD of 938,459,91,220 Calculator

GCDof 938,459,91,220 is 1

Given Input numbers are 938, 459, 91, 220

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

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

Greatest Common Divisior

We found the divisors of 938, 459, 91, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 459, 91, 220 is 1.

Therefore, GCD of numbers 938, 459, 91, 220 is 1

Finding GCD of 938, 459, 91, 220 using Prime Factorization

Given Input Data is 938, 459, 91, 220

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 91 is 7 x 13

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

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

Finding GCD of 938, 459, 91, 220 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(938, 459) = 430542

GCD(938, 459) = ( 938 x 459 ) / 430542

GCD(938, 459) = 430542 / 430542

GCD(938, 459) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 938, 459, 91, 220 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 938, 459, 91, 220

1. What is the GCD of 938, 459, 91, 220?

GCD of 938, 459, 91, 220 is 1


2. Where do I get the detailed procedure to find GCD of 938, 459, 91, 220?

You can find a detailed procedure to find GCD of 938, 459, 91, 220 on our page.


3. How to find GCD of 938, 459, 91, 220 on a calculator?

You can find the GCD of 938, 459, 91, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.