GCD of 96, 342, 470, 756 Calculator

Given Input numbers are 96, 342, 470, 756

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

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 96, 342, 470, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 342, 470, 756 is 2.

Therefore, GCD of numbers 96, 342, 470, 756 is 2

Given Input Data is 96, 342, 470, 756

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

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(96, 342) = 5472

GCD(96, 342) = ( 96 x 342 ) / 5472

GCD(96, 342) = 32832 / 5472

GCD(96, 342) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 470

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

LCM(6, 470) = 1410

GCD(6, 470) = ( 6 x 470 ) / 1410

GCD(6, 470) = 2820 / 1410

GCD(6, 470) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

GCD of 96, 342, 470, 756 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 111, 786, 308
• GCD of 27, 306, 469, 722
• GCD of 54, 837, 923, 650
• GCD of 79, 264, 789, 864
• GCD of 81, 712, 712, 867

1. What is the GCD of 96, 342, 470, 756?

GCD of 96, 342, 470, 756 is 2

2. Where do I get the detailed procedure to find GCD of 96, 342, 470, 756?

You can find a detailed procedure to find GCD of 96, 342, 470, 756 on our page.

3. How to find GCD of 96, 342, 470, 756 on a calculator?

You can find the GCD of 96, 342, 470, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.