GCD of 524, 434, 742, 184 Calculator

Given Input numbers are 524, 434, 742, 184

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 184

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

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

Greatest Common Divisior

We found the divisors of 524, 434, 742, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 434, 742, 184 is 2.

Therefore, GCD of numbers 524, 434, 742, 184 is 2

Given Input Data is 524, 434, 742, 184

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 742 is 2 x 7 x 53

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

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(524, 434) = 113708

GCD(524, 434) = ( 524 x 434 ) / 113708

GCD(524, 434) = 227416 / 113708

GCD(524, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 184

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

LCM(2, 184) = 184

GCD(2, 184) = ( 2 x 184 ) / 184

GCD(2, 184) = 368 / 184

GCD(2, 184) = 2

GCD of 524, 434, 742, 184 is 2

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1. What is the GCD of 524, 434, 742, 184?

GCD of 524, 434, 742, 184 is 2

2. Where do I get the detailed procedure to find GCD of 524, 434, 742, 184?

You can find a detailed procedure to find GCD of 524, 434, 742, 184 on our page.

3. How to find GCD of 524, 434, 742, 184 on a calculator?

You can find the GCD of 524, 434, 742, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.