GCD of 130, 262, 107, 247 Calculator

Given Input numbers are 130, 262, 107, 247

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

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 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Greatest Common Divisior

We found the divisors of 130, 262, 107, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 262, 107, 247 is 1.

Therefore, GCD of numbers 130, 262, 107, 247 is 1

Given Input Data is 130, 262, 107, 247

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 262 is 2 x 131

Prime Factorization of 107 is 107

Prime Factorization of 247 is 13 x 19

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(130, 262) = 17030

GCD(130, 262) = ( 130 x 262 ) / 17030

GCD(130, 262) = 34060 / 17030

GCD(130, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 107

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

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

GCD(2, 107) = 214 / 214

GCD(2, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 247

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

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

GCD(1, 247) = 247 / 247

GCD(1, 247) = 1

GCD of 130, 262, 107, 247 is 1

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1. What is the GCD of 130, 262, 107, 247?

GCD of 130, 262, 107, 247 is 1

2. Where do I get the detailed procedure to find GCD of 130, 262, 107, 247?

You can find a detailed procedure to find GCD of 130, 262, 107, 247 on our page.

3. How to find GCD of 130, 262, 107, 247 on a calculator?

You can find the GCD of 130, 262, 107, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.