GCD of 906, 259, 944, 138 Calculator

Given Input numbers are 906, 259, 944, 138

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 906, 259, 944, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 259, 944, 138 is 1.

Therefore, GCD of numbers 906, 259, 944, 138 is 1

Given Input Data is 906, 259, 944, 138

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 259 is 7 x 37

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 138 is 2 x 3 x 23

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(906, 259) = 234654

GCD(906, 259) = ( 906 x 259 ) / 234654

GCD(906, 259) = 234654 / 234654

GCD(906, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 906, 259, 944, 138 is 1

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1. What is the GCD of 906, 259, 944, 138?

GCD of 906, 259, 944, 138 is 1

2. Where do I get the detailed procedure to find GCD of 906, 259, 944, 138?

You can find a detailed procedure to find GCD of 906, 259, 944, 138 on our page.

3. How to find GCD of 906, 259, 944, 138 on a calculator?

You can find the GCD of 906, 259, 944, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.