GCD of 906, 292, 15, 137 Calculator

Given Input numbers are 906, 292, 15, 137

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 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 906, 292, 15, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 292, 15, 137 is 1.

Therefore, GCD of numbers 906, 292, 15, 137 is 1

Given Input Data is 906, 292, 15, 137

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 292 is 2 x 2 x 73

Prime Factorization of 15 is 3 x 5

Prime Factorization of 137 is 137

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, 292) = 132276

GCD(906, 292) = ( 906 x 292 ) / 132276

GCD(906, 292) = 264552 / 132276

GCD(906, 292) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 906, 292, 15, 137 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 676, 35, 295
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• GCD of 400, 404, 26, 535
• GCD of 974, 808, 59, 466

1. What is the GCD of 906, 292, 15, 137?

GCD of 906, 292, 15, 137 is 1

2. Where do I get the detailed procedure to find GCD of 906, 292, 15, 137?

You can find a detailed procedure to find GCD of 906, 292, 15, 137 on our page.

3. How to find GCD of 906, 292, 15, 137 on a calculator?

You can find the GCD of 906, 292, 15, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.