GCD of 688, 812, 198, 156 Calculator

Given Input numbers are 688, 812, 198, 156

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 688, 812, 198, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 812, 198, 156 is 2.

Therefore, GCD of numbers 688, 812, 198, 156 is 2

Given Input Data is 688, 812, 198, 156

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 156 is 2 x 2 x 3 x 13

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(688, 812) = 139664

GCD(688, 812) = ( 688 x 812 ) / 139664

GCD(688, 812) = 558656 / 139664

GCD(688, 812) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 198

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

LCM(4, 198) = 396

GCD(4, 198) = ( 4 x 198 ) / 396

GCD(4, 198) = 792 / 396

GCD(4, 198) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 156

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

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

GCD(2, 156) = 312 / 156

GCD(2, 156) = 2

GCD of 688, 812, 198, 156 is 2

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1. What is the GCD of 688, 812, 198, 156?

GCD of 688, 812, 198, 156 is 2

2. Where do I get the detailed procedure to find GCD of 688, 812, 198, 156?

You can find a detailed procedure to find GCD of 688, 812, 198, 156 on our page.

3. How to find GCD of 688, 812, 198, 156 on a calculator?

You can find the GCD of 688, 812, 198, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.