GCD of 102, 938, 842 Calculator

Given Input numbers are 102, 938, 842

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 102, 938, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 938, 842 is 2.

Therefore, GCD of numbers 102, 938, 842 is 2

Given Input Data is 102, 938, 842

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 842 is 2 x 421

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(102, 938) = 47838

GCD(102, 938) = ( 102 x 938 ) / 47838

GCD(102, 938) = 95676 / 47838

GCD(102, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

GCD of 102, 938, 842 is 2

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1. What is the GCD of 102, 938, 842?

GCD of 102, 938, 842 is 2

2. Where do I get the detailed procedure to find GCD of 102, 938, 842?

You can find a detailed procedure to find GCD of 102, 938, 842 on our page.

3. How to find GCD of 102, 938, 842 on a calculator?

You can find the GCD of 102, 938, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.