GCD of 524, 368, 586, 988 Calculator

Given Input numbers are 524, 368, 586, 988

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 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 524, 368, 586, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 368, 586, 988 is 2.

Therefore, GCD of numbers 524, 368, 586, 988 is 2

Given Input Data is 524, 368, 586, 988

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 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 586 is 2 x 293

Prime Factorization of 988 is 2 x 2 x 13 x 19

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, 368) = 48208

GCD(524, 368) = ( 524 x 368 ) / 48208

GCD(524, 368) = 192832 / 48208

GCD(524, 368) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 586

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

LCM(4, 586) = 1172

GCD(4, 586) = ( 4 x 586 ) / 1172

GCD(4, 586) = 2344 / 1172

GCD(4, 586) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 988

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

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

GCD(2, 988) = 1976 / 988

GCD(2, 988) = 2

GCD of 524, 368, 586, 988 is 2

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1. What is the GCD of 524, 368, 586, 988?

GCD of 524, 368, 586, 988 is 2

2. Where do I get the detailed procedure to find GCD of 524, 368, 586, 988?

You can find a detailed procedure to find GCD of 524, 368, 586, 988 on our page.

3. How to find GCD of 524, 368, 586, 988 on a calculator?

You can find the GCD of 524, 368, 586, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.