GCD of 747, 102, 96 Calculator

Given Input numbers are 747, 102, 96

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

Divisors of 747

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

1, 3, 9, 83, 249, 747

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 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Greatest Common Divisior

We found the divisors of 747, 102, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 102, 96 is 3.

Therefore, GCD of numbers 747, 102, 96 is 3

Given Input Data is 747, 102, 96

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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(747, 102) = 25398

GCD(747, 102) = ( 747 x 102 ) / 25398

GCD(747, 102) = 76194 / 25398

GCD(747, 102) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 96

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

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

GCD(3, 96) = 288 / 96

GCD(3, 96) = 3

GCD of 747, 102, 96 is 3

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1. What is the GCD of 747, 102, 96?

GCD of 747, 102, 96 is 3

2. Where do I get the detailed procedure to find GCD of 747, 102, 96?

You can find a detailed procedure to find GCD of 747, 102, 96 on our page.

3. How to find GCD of 747, 102, 96 on a calculator?

You can find the GCD of 747, 102, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.