GCD of 508, 548, 180 Calculator

Given Input numbers are 508, 548, 180

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 508, 548, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 548, 180 is 4.

Therefore, GCD of numbers 508, 548, 180 is 4

Given Input Data is 508, 548, 180

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(508, 548) = 69596

GCD(508, 548) = ( 508 x 548 ) / 69596

GCD(508, 548) = 278384 / 69596

GCD(508, 548) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 180

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

LCM(4, 180) = 180

GCD(4, 180) = ( 4 x 180 ) / 180

GCD(4, 180) = 720 / 180

GCD(4, 180) = 4

GCD of 508, 548, 180 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 349, 752
• GCD of 153, 726, 905
• GCD of 505, 672, 971
• GCD of 973, 107, 777
• GCD of 842, 491, 851

1. What is the GCD of 508, 548, 180?

GCD of 508, 548, 180 is 4

2. Where do I get the detailed procedure to find GCD of 508, 548, 180?

You can find a detailed procedure to find GCD of 508, 548, 180 on our page.

3. How to find GCD of 508, 548, 180 on a calculator?

You can find the GCD of 508, 548, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.