GCD of 130, 707, 57, 299 Calculator

Given Input numbers are 130, 707, 57, 299

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 130, 707, 57, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 707, 57, 299 is 1.

Therefore, GCD of numbers 130, 707, 57, 299 is 1

Given Input Data is 130, 707, 57, 299

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 707 is 7 x 101

Prime Factorization of 57 is 3 x 19

Prime Factorization of 299 is 13 x 23

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, 707) = 91910

GCD(130, 707) = ( 130 x 707 ) / 91910

GCD(130, 707) = 91910 / 91910

GCD(130, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 130, 707, 57, 299 is 1

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• GCD of 146, 995, 15, 252
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• GCD of 679, 822, 48, 134

1. What is the GCD of 130, 707, 57, 299?

GCD of 130, 707, 57, 299 is 1

2. Where do I get the detailed procedure to find GCD of 130, 707, 57, 299?

You can find a detailed procedure to find GCD of 130, 707, 57, 299 on our page.

3. How to find GCD of 130, 707, 57, 299 on a calculator?

You can find the GCD of 130, 707, 57, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.