GCD of 528, 902, 168, 508 Calculator

Given Input numbers are 528, 902, 168, 508

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 528, 902, 168, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 902, 168, 508 is 2.

Therefore, GCD of numbers 528, 902, 168, 508 is 2

Given Input Data is 528, 902, 168, 508

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 508 is 2 x 2 x 127

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(528, 902) = 21648

GCD(528, 902) = ( 528 x 902 ) / 21648

GCD(528, 902) = 476256 / 21648

GCD(528, 902) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 168

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

LCM(22, 168) = 1848

GCD(22, 168) = ( 22 x 168 ) / 1848

GCD(22, 168) = 3696 / 1848

GCD(22, 168) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

GCD of 528, 902, 168, 508 is 2

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1. What is the GCD of 528, 902, 168, 508?

GCD of 528, 902, 168, 508 is 2

2. Where do I get the detailed procedure to find GCD of 528, 902, 168, 508?

You can find a detailed procedure to find GCD of 528, 902, 168, 508 on our page.

3. How to find GCD of 528, 902, 168, 508 on a calculator?

You can find the GCD of 528, 902, 168, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.