GCD of 292, 768, 968 Calculator

Given Input numbers are 292, 768, 968

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 292, 768, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 768, 968 is 4.

Therefore, GCD of numbers 292, 768, 968 is 4

Given Input Data is 292, 768, 968

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(292, 768) = 56064

GCD(292, 768) = ( 292 x 768 ) / 56064

GCD(292, 768) = 224256 / 56064

GCD(292, 768) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 968

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

LCM(4, 968) = 968

GCD(4, 968) = ( 4 x 968 ) / 968

GCD(4, 968) = 3872 / 968

GCD(4, 968) = 4

GCD of 292, 768, 968 is 4

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1. What is the GCD of 292, 768, 968?

GCD of 292, 768, 968 is 4

2. Where do I get the detailed procedure to find GCD of 292, 768, 968?

You can find a detailed procedure to find GCD of 292, 768, 968 on our page.

3. How to find GCD of 292, 768, 968 on a calculator?

You can find the GCD of 292, 768, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.