GCD of 24, 136, 682, 538 Calculator

Given Input numbers are 24, 136, 682, 538

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 24, 136, 682, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 136, 682, 538 is 2.

Therefore, GCD of numbers 24, 136, 682, 538 is 2

Given Input Data is 24, 136, 682, 538

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 538 is 2 x 269

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(24, 136) = 408

GCD(24, 136) = ( 24 x 136 ) / 408

GCD(24, 136) = 3264 / 408

GCD(24, 136) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 682

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

LCM(8, 682) = 2728

GCD(8, 682) = ( 8 x 682 ) / 2728

GCD(8, 682) = 5456 / 2728

GCD(8, 682) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 538

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

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

GCD(2, 538) = 1076 / 538

GCD(2, 538) = 2

GCD of 24, 136, 682, 538 is 2

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1. What is the GCD of 24, 136, 682, 538?

GCD of 24, 136, 682, 538 is 2

2. Where do I get the detailed procedure to find GCD of 24, 136, 682, 538?

You can find a detailed procedure to find GCD of 24, 136, 682, 538 on our page.

3. How to find GCD of 24, 136, 682, 538 on a calculator?

You can find the GCD of 24, 136, 682, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.