GCD of 184, 678, 718, 968 Calculator

Given Input numbers are 184, 678, 718, 968

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

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 184, 678, 718, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 678, 718, 968 is 2.

Therefore, GCD of numbers 184, 678, 718, 968 is 2

Given Input Data is 184, 678, 718, 968

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 718 is 2 x 359

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(184, 678) = 62376

GCD(184, 678) = ( 184 x 678 ) / 62376

GCD(184, 678) = 124752 / 62376

GCD(184, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 718

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

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

GCD(2, 718) = 1436 / 718

GCD(2, 718) = 2

Step3:

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 184, 678, 718, 968 is 2

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1. What is the GCD of 184, 678, 718, 968?

GCD of 184, 678, 718, 968 is 2

2. Where do I get the detailed procedure to find GCD of 184, 678, 718, 968?

You can find a detailed procedure to find GCD of 184, 678, 718, 968 on our page.

3. How to find GCD of 184, 678, 718, 968 on a calculator?

You can find the GCD of 184, 678, 718, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.