GCD of 532, 376, 90, 594 Calculator

Given Input numbers are 532, 376, 90, 594

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Greatest Common Divisior

We found the divisors of 532, 376, 90, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 376, 90, 594 is 2.

Therefore, GCD of numbers 532, 376, 90, 594 is 2

Given Input Data is 532, 376, 90, 594

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

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(532, 376) = 50008

GCD(532, 376) = ( 532 x 376 ) / 50008

GCD(532, 376) = 200032 / 50008

GCD(532, 376) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 90

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

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

GCD(4, 90) = 360 / 180

GCD(4, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 594

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

LCM(2, 594) = 594

GCD(2, 594) = ( 2 x 594 ) / 594

GCD(2, 594) = 1188 / 594

GCD(2, 594) = 2

GCD of 532, 376, 90, 594 is 2

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1. What is the GCD of 532, 376, 90, 594?

GCD of 532, 376, 90, 594 is 2

2. Where do I get the detailed procedure to find GCD of 532, 376, 90, 594?

You can find a detailed procedure to find GCD of 532, 376, 90, 594 on our page.

3. How to find GCD of 532, 376, 90, 594 on a calculator?

You can find the GCD of 532, 376, 90, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.