GCD of 426, 942, 149 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 426, 942, 149 i.e. 1 largest integer that divides all the numbers equally.

GCD of 426, 942, 149 is 1

GCD(426, 942, 149) = 1

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

GCD of

GCD of numbers 426, 942, 149 is 1

GCD(426, 942, 149) = 1

GCD of 426,942,149 Calculator

GCDof 426,942,149 is 1

Given Input numbers are 426, 942, 149

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 942

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

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 426, 942, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 942, 149 is 1.

Therefore, GCD of numbers 426, 942, 149 is 1

Finding GCD of 426, 942, 149 using Prime Factorization

Given Input Data is 426, 942, 149

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 149 is 149

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

Finding GCD of 426, 942, 149 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(426, 942) = 66882

GCD(426, 942) = ( 426 x 942 ) / 66882

GCD(426, 942) = 401292 / 66882

GCD(426, 942) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 149

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

LCM(6, 149) = 894

GCD(6, 149) = ( 6 x 149 ) / 894

GCD(6, 149) = 894 / 894

GCD(6, 149) = 1

GCD of 426, 942, 149 is 1

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FAQs on GCD of numbers 426, 942, 149

1. What is the GCD of 426, 942, 149?

GCD of 426, 942, 149 is 1

2. Where do I get the detailed procedure to find GCD of 426, 942, 149?

You can find a detailed procedure to find GCD of 426, 942, 149 on our page.

3. How to find GCD of 426, 942, 149 on a calculator?

You can find the GCD of 426, 942, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.