GCD of 426, 291, 617, 149 Calculator

Given Input numbers are 426, 291, 617, 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 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

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, 291, 617, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 291, 617, 149 is 1.

Therefore, GCD of numbers 426, 291, 617, 149 is 1

Given Input Data is 426, 291, 617, 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 291 is 3 x 97

Prime Factorization of 617 is 617

Prime Factorization of 149 is 149

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

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, 291) = 41322

GCD(426, 291) = ( 426 x 291 ) / 41322

GCD(426, 291) = 123966 / 41322

GCD(426, 291) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 617

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

LCM(3, 617) = 1851

GCD(3, 617) = ( 3 x 617 ) / 1851

GCD(3, 617) = 1851 / 1851

GCD(3, 617) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 426, 291, 617, 149 is 1

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1. What is the GCD of 426, 291, 617, 149?

GCD of 426, 291, 617, 149 is 1

2. Where do I get the detailed procedure to find GCD of 426, 291, 617, 149?

You can find a detailed procedure to find GCD of 426, 291, 617, 149 on our page.

3. How to find GCD of 426, 291, 617, 149 on a calculator?

You can find the GCD of 426, 291, 617, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.