GCD of 528, 198, 906, 802 Calculator

Given Input numbers are 528, 198, 906, 802

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 528, 198, 906, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 198, 906, 802 is 2.

Therefore, GCD of numbers 528, 198, 906, 802 is 2

Given Input Data is 528, 198, 906, 802

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 198 is 2 x 3 x 3 x 11

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 802 is 2 x 401

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, 198) = 1584

GCD(528, 198) = ( 528 x 198 ) / 1584

GCD(528, 198) = 104544 / 1584

GCD(528, 198) = 66

Step2:

Here we consider the GCD from the above i.e. 66 as first number and the next as 906

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

LCM(66, 906) = 9966

GCD(66, 906) = ( 66 x 906 ) / 9966

GCD(66, 906) = 59796 / 9966

GCD(66, 906) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 802

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

LCM(6, 802) = 2406

GCD(6, 802) = ( 6 x 802 ) / 2406

GCD(6, 802) = 4812 / 2406

GCD(6, 802) = 2

GCD of 528, 198, 906, 802 is 2

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1. What is the GCD of 528, 198, 906, 802?

GCD of 528, 198, 906, 802 is 2

2. Where do I get the detailed procedure to find GCD of 528, 198, 906, 802?

You can find a detailed procedure to find GCD of 528, 198, 906, 802 on our page.

3. How to find GCD of 528, 198, 906, 802 on a calculator?

You can find the GCD of 528, 198, 906, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.