GCD of 124, 116, 52, 540 Calculator

Given Input numbers are 124, 116, 52, 540

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

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 124, 116, 52, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 116, 52, 540 is 4.

Therefore, GCD of numbers 124, 116, 52, 540 is 4

Given Input Data is 124, 116, 52, 540

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

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 540 is 2 x 2 x 3 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(124, 116) = 3596

GCD(124, 116) = ( 124 x 116 ) / 3596

GCD(124, 116) = 14384 / 3596

GCD(124, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 540

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

LCM(4, 540) = 540

GCD(4, 540) = ( 4 x 540 ) / 540

GCD(4, 540) = 2160 / 540

GCD(4, 540) = 4

GCD of 124, 116, 52, 540 is 4

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1. What is the GCD of 124, 116, 52, 540?

GCD of 124, 116, 52, 540 is 4

2. Where do I get the detailed procedure to find GCD of 124, 116, 52, 540?

You can find a detailed procedure to find GCD of 124, 116, 52, 540 on our page.

3. How to find GCD of 124, 116, 52, 540 on a calculator?

You can find the GCD of 124, 116, 52, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.