GCD of 378, 584, 968 Calculator

Given Input numbers are 378, 584, 968

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 378, 584, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 584, 968 is 2.

Therefore, GCD of numbers 378, 584, 968 is 2

Given Input Data is 378, 584, 968

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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(378, 584) = 110376

GCD(378, 584) = ( 378 x 584 ) / 110376

GCD(378, 584) = 220752 / 110376

GCD(378, 584) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 968

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

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

GCD(2, 968) = 1936 / 968

GCD(2, 968) = 2

GCD of 378, 584, 968 is 2

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1. What is the GCD of 378, 584, 968?

GCD of 378, 584, 968 is 2

2. Where do I get the detailed procedure to find GCD of 378, 584, 968?

You can find a detailed procedure to find GCD of 378, 584, 968 on our page.

3. How to find GCD of 378, 584, 968 on a calculator?

You can find the GCD of 378, 584, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.