GCD of 102, 692, 982 Calculator

Given Input numbers are 102, 692, 982

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 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 102, 692, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 692, 982 is 2.

Therefore, GCD of numbers 102, 692, 982 is 2

Given Input Data is 102, 692, 982

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 692 is 2 x 2 x 173

Prime Factorization of 982 is 2 x 491

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, 692) = 35292

GCD(102, 692) = ( 102 x 692 ) / 35292

GCD(102, 692) = 70584 / 35292

GCD(102, 692) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 982

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

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

GCD(2, 982) = 1964 / 982

GCD(2, 982) = 2

GCD of 102, 692, 982 is 2

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1. What is the GCD of 102, 692, 982?

GCD of 102, 692, 982 is 2

2. Where do I get the detailed procedure to find GCD of 102, 692, 982?

You can find a detailed procedure to find GCD of 102, 692, 982 on our page.

3. How to find GCD of 102, 692, 982 on a calculator?

You can find the GCD of 102, 692, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.