GCD of 270, 105, 130, 137 Calculator

Given Input numbers are 270, 105, 130, 137

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

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 270, 105, 130, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 105, 130, 137 is 1.

Therefore, GCD of numbers 270, 105, 130, 137 is 1

Given Input Data is 270, 105, 130, 137

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 130 is 2 x 5 x 13

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(270, 105) = 1890

GCD(270, 105) = ( 270 x 105 ) / 1890

GCD(270, 105) = 28350 / 1890

GCD(270, 105) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 130

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

LCM(15, 130) = 390

GCD(15, 130) = ( 15 x 130 ) / 390

GCD(15, 130) = 1950 / 390

GCD(15, 130) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 137

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

LCM(5, 137) = 685

GCD(5, 137) = ( 5 x 137 ) / 685

GCD(5, 137) = 685 / 685

GCD(5, 137) = 1

GCD of 270, 105, 130, 137 is 1

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1. What is the GCD of 270, 105, 130, 137?

GCD of 270, 105, 130, 137 is 1

2. Where do I get the detailed procedure to find GCD of 270, 105, 130, 137?

You can find a detailed procedure to find GCD of 270, 105, 130, 137 on our page.

3. How to find GCD of 270, 105, 130, 137 on a calculator?

You can find the GCD of 270, 105, 130, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.