GCD of 137, 294, 738 Calculator

Given Input numbers are 137, 294, 738

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 137, 294, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 294, 738 is 1.

Therefore, GCD of numbers 137, 294, 738 is 1

Given Input Data is 137, 294, 738

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

Prime Factorization of 137 is 137

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 738 is 2 x 3 x 3 x 41

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, 294) = 40278

GCD(137, 294) = ( 137 x 294 ) / 40278

GCD(137, 294) = 40278 / 40278

GCD(137, 294) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 137, 294, 738 is 1

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1. What is the GCD of 137, 294, 738?

GCD of 137, 294, 738 is 1

2. Where do I get the detailed procedure to find GCD of 137, 294, 738?

You can find a detailed procedure to find GCD of 137, 294, 738 on our page.

3. How to find GCD of 137, 294, 738 on a calculator?

You can find the GCD of 137, 294, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.