GCD of 124, 212, 184, 724 Calculator

Given Input numbers are 124, 212, 184, 724

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 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 124, 212, 184, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 212, 184, 724 is 4.

Therefore, GCD of numbers 124, 212, 184, 724 is 4

Given Input Data is 124, 212, 184, 724

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 212 is 2 x 2 x 53

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 724 is 2 x 2 x 181

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, 212) = 6572

GCD(124, 212) = ( 124 x 212 ) / 6572

GCD(124, 212) = 26288 / 6572

GCD(124, 212) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 184

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

LCM(4, 184) = 184

GCD(4, 184) = ( 4 x 184 ) / 184

GCD(4, 184) = 736 / 184

GCD(4, 184) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 724

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

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

GCD(4, 724) = 2896 / 724

GCD(4, 724) = 4

GCD of 124, 212, 184, 724 is 4

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1. What is the GCD of 124, 212, 184, 724?

GCD of 124, 212, 184, 724 is 4

2. Where do I get the detailed procedure to find GCD of 124, 212, 184, 724?

You can find a detailed procedure to find GCD of 124, 212, 184, 724 on our page.

3. How to find GCD of 124, 212, 184, 724 on a calculator?

You can find the GCD of 124, 212, 184, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.