GCD of 642, 794, 902, 198 Calculator

Given Input numbers are 642, 794, 902, 198

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

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 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

Greatest Common Divisior

We found the divisors of 642, 794, 902, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 794, 902, 198 is 2.

Therefore, GCD of numbers 642, 794, 902, 198 is 2

Given Input Data is 642, 794, 902, 198

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 794 is 2 x 397

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 198 is 2 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(642, 794) = 254874

GCD(642, 794) = ( 642 x 794 ) / 254874

GCD(642, 794) = 509748 / 254874

GCD(642, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 902

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

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

GCD(2, 902) = 1804 / 902

GCD(2, 902) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

GCD of 642, 794, 902, 198 is 2

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1. What is the GCD of 642, 794, 902, 198?

GCD of 642, 794, 902, 198 is 2

2. Where do I get the detailed procedure to find GCD of 642, 794, 902, 198?

You can find a detailed procedure to find GCD of 642, 794, 902, 198 on our page.

3. How to find GCD of 642, 794, 902, 198 on a calculator?

You can find the GCD of 642, 794, 902, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.