GCD of 749, 208, 942 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 749, 208, 942 i.e. 1 largest integer that divides all the numbers equally.

GCD of 749, 208, 942 is 1

GCD(749, 208, 942) = 1

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

GCD of

GCD of numbers 749, 208, 942 is 1

GCD(749, 208, 942) = 1

GCD of 749,208,942 Calculator

GCDof 749,208,942 is 1

Given Input numbers are 749, 208, 942

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

Divisors of 749

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

1, 7, 107, 749

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 749, 208, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 208, 942 is 1.

Therefore, GCD of numbers 749, 208, 942 is 1

Finding GCD of 749, 208, 942 using Prime Factorization

Given Input Data is 749, 208, 942

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 942 is 2 x 3 x 157

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

Finding GCD of 749, 208, 942 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(749, 208) = 155792

GCD(749, 208) = ( 749 x 208 ) / 155792

GCD(749, 208) = 155792 / 155792

GCD(749, 208) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 749, 208, 942 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 749, 208, 942

1. What is the GCD of 749, 208, 942?

GCD of 749, 208, 942 is 1


2. Where do I get the detailed procedure to find GCD of 749, 208, 942?

You can find a detailed procedure to find GCD of 749, 208, 942 on our page.


3. How to find GCD of 749, 208, 942 on a calculator?

You can find the GCD of 749, 208, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.