GCD of 358, 749, 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 358, 749, 22 i.e. 1 largest integer that divides all the numbers equally.

GCD of 358, 749, 22 is 1

GCD(358, 749, 22) = 1

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

GCD of

GCD of numbers 358, 749, 22 is 1

GCD(358, 749, 22) = 1

GCD of 358,749,22 Calculator

GCDof 358,749,22 is 1

Given Input numbers are 358, 749, 22

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

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 358, 749, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 749, 22 is 1.

Therefore, GCD of numbers 358, 749, 22 is 1

Finding GCD of 358, 749, 22 using Prime Factorization

Given Input Data is 358, 749, 22

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 749 is 7 x 107

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 358, 749, 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(358, 749) = 268142

GCD(358, 749) = ( 358 x 749 ) / 268142

GCD(358, 749) = 268142 / 268142

GCD(358, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

GCD of 358, 749, 22 is 1

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FAQs on GCD of numbers 358, 749, 22

1. What is the GCD of 358, 749, 22?

GCD of 358, 749, 22 is 1

2. Where do I get the detailed procedure to find GCD of 358, 749, 22?

You can find a detailed procedure to find GCD of 358, 749, 22 on our page.

3. How to find GCD of 358, 749, 22 on a calculator?

You can find the GCD of 358, 749, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.