GCD of 741, 948, 22 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 741, 948, 22 i.e. 1 largest integer that divides all the numbers equally.

GCD of 741, 948, 22 is 1

GCD(741, 948, 22) = 1

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

GCD of

GCD of numbers 741, 948, 22 is 1

GCD(741, 948, 22) = 1

GCD of 741,948,22 Calculator

GCDof 741,948,22 is 1

Given Input numbers are 741, 948, 22

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Greatest Common Divisior

We found the divisors of 741, 948, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 948, 22 is 1.

Therefore, GCD of numbers 741, 948, 22 is 1

Finding GCD of 741, 948, 22 using Prime Factorization

Given Input Data is 741, 948, 22

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

Prime Factorization of 741 is 3 x 13 x 19

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

Prime Factorization of 22 is 2 x 11

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

Finding GCD of 741, 948, 22 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(741, 948) = 234156

GCD(741, 948) = ( 741 x 948 ) / 234156

GCD(741, 948) = 702468 / 234156

GCD(741, 948) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 22

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

LCM(3, 22) = 66

GCD(3, 22) = ( 3 x 22 ) / 66

GCD(3, 22) = 66 / 66

GCD(3, 22) = 1

GCD of 741, 948, 22 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 741, 948, 22

1. What is the GCD of 741, 948, 22?

GCD of 741, 948, 22 is 1


2. Where do I get the detailed procedure to find GCD of 741, 948, 22?

You can find a detailed procedure to find GCD of 741, 948, 22 on our page.


3. How to find GCD of 741, 948, 22 on a calculator?

You can find the GCD of 741, 948, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.