GCD of 532, 710, 844, 502 Calculator

Given Input numbers are 532, 710, 844, 502

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 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 532, 710, 844, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 710, 844, 502 is 2.

Therefore, GCD of numbers 532, 710, 844, 502 is 2

Given Input Data is 532, 710, 844, 502

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 710 is 2 x 5 x 71

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 502 is 2 x 251

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, 710) = 188860

GCD(532, 710) = ( 532 x 710 ) / 188860

GCD(532, 710) = 377720 / 188860

GCD(532, 710) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 844

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

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

GCD(2, 844) = 1688 / 844

GCD(2, 844) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 502

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

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

GCD(2, 502) = 1004 / 502

GCD(2, 502) = 2

GCD of 532, 710, 844, 502 is 2

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1. What is the GCD of 532, 710, 844, 502?

GCD of 532, 710, 844, 502 is 2

2. Where do I get the detailed procedure to find GCD of 532, 710, 844, 502?

You can find a detailed procedure to find GCD of 532, 710, 844, 502 on our page.

3. How to find GCD of 532, 710, 844, 502 on a calculator?

You can find the GCD of 532, 710, 844, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.