GCD of 76, 368, 612, 318 Calculator

Given Input numbers are 76, 368, 612, 318

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 76, 368, 612, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 368, 612, 318 is 2.

Therefore, GCD of numbers 76, 368, 612, 318 is 2

Given Input Data is 76, 368, 612, 318

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 318 is 2 x 3 x 53

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(76, 368) = 6992

GCD(76, 368) = ( 76 x 368 ) / 6992

GCD(76, 368) = 27968 / 6992

GCD(76, 368) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 612

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

LCM(4, 612) = 612

GCD(4, 612) = ( 4 x 612 ) / 612

GCD(4, 612) = 2448 / 612

GCD(4, 612) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 318

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

LCM(4, 318) = 636

GCD(4, 318) = ( 4 x 318 ) / 636

GCD(4, 318) = 1272 / 636

GCD(4, 318) = 2

GCD of 76, 368, 612, 318 is 2

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• GCD of 97, 148, 885, 648
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1. What is the GCD of 76, 368, 612, 318?

GCD of 76, 368, 612, 318 is 2

2. Where do I get the detailed procedure to find GCD of 76, 368, 612, 318?

You can find a detailed procedure to find GCD of 76, 368, 612, 318 on our page.

3. How to find GCD of 76, 368, 612, 318 on a calculator?

You can find the GCD of 76, 368, 612, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.