GCD of 102, 297, 747 Calculator

Given Input numbers are 102, 297, 747

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 102, 297, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 297, 747 is 3.

Therefore, GCD of numbers 102, 297, 747 is 3

Given Input Data is 102, 297, 747

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 297 is 3 x 3 x 3 x 11

Prime Factorization of 747 is 3 x 3 x 83

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 297) = 10098

GCD(102, 297) = ( 102 x 297 ) / 10098

GCD(102, 297) = 30294 / 10098

GCD(102, 297) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 747

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

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

GCD(3, 747) = 2241 / 747

GCD(3, 747) = 3

GCD of 102, 297, 747 is 3

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1. What is the GCD of 102, 297, 747?

GCD of 102, 297, 747 is 3

2. Where do I get the detailed procedure to find GCD of 102, 297, 747?

You can find a detailed procedure to find GCD of 102, 297, 747 on our page.

3. How to find GCD of 102, 297, 747 on a calculator?

You can find the GCD of 102, 297, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.