GCD of 254, 130, 80, 504 Calculator

Given Input numbers are 254, 130, 80, 504

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

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 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 254, 130, 80, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 130, 80, 504 is 2.

Therefore, GCD of numbers 254, 130, 80, 504 is 2

Given Input Data is 254, 130, 80, 504

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(254, 130) = 16510

GCD(254, 130) = ( 254 x 130 ) / 16510

GCD(254, 130) = 33020 / 16510

GCD(254, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

GCD of 254, 130, 80, 504 is 2

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1. What is the GCD of 254, 130, 80, 504?

GCD of 254, 130, 80, 504 is 2

2. Where do I get the detailed procedure to find GCD of 254, 130, 80, 504?

You can find a detailed procedure to find GCD of 254, 130, 80, 504 on our page.

3. How to find GCD of 254, 130, 80, 504 on a calculator?

You can find the GCD of 254, 130, 80, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.