GCD of 137, 904, 30 Calculator

Given Input numbers are 137, 904, 30

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

Divisors of 137

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

1, 137

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Greatest Common Divisior

We found the divisors of 137, 904, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 904, 30 is 1.

Therefore, GCD of numbers 137, 904, 30 is 1

Given Input Data is 137, 904, 30

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

Prime Factorization of 137 is 137

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 30 is 2 x 3 x 5

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(137, 904) = 123848

GCD(137, 904) = ( 137 x 904 ) / 123848

GCD(137, 904) = 123848 / 123848

GCD(137, 904) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

GCD of 137, 904, 30 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 329, 42
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• GCD of 916, 368, 58
• GCD of 780, 466, 17
• GCD of 649, 300, 50

1. What is the GCD of 137, 904, 30?

GCD of 137, 904, 30 is 1

2. Where do I get the detailed procedure to find GCD of 137, 904, 30?

You can find a detailed procedure to find GCD of 137, 904, 30 on our page.

3. How to find GCD of 137, 904, 30 on a calculator?

You can find the GCD of 137, 904, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.