GCD of 130, 398, 79, 501 Calculator

Given Input numbers are 130, 398, 79, 501

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 130, 398, 79, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 398, 79, 501 is 1.

Therefore, GCD of numbers 130, 398, 79, 501 is 1

Given Input Data is 130, 398, 79, 501

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 398 is 2 x 199

Prime Factorization of 79 is 79

Prime Factorization of 501 is 3 x 167

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, 398) = 25870

GCD(130, 398) = ( 130 x 398 ) / 25870

GCD(130, 398) = 51740 / 25870

GCD(130, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 130, 398, 79, 501 is 1

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• GCD of 896, 688, 46, 159
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1. What is the GCD of 130, 398, 79, 501?

GCD of 130, 398, 79, 501 is 1

2. Where do I get the detailed procedure to find GCD of 130, 398, 79, 501?

You can find a detailed procedure to find GCD of 130, 398, 79, 501 on our page.

3. How to find GCD of 130, 398, 79, 501 on a calculator?

You can find the GCD of 130, 398, 79, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.