GCD of 968, 112, 254 Calculator

Given Input numbers are 968, 112, 254

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

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 968, 112, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 112, 254 is 2.

Therefore, GCD of numbers 968, 112, 254 is 2

Given Input Data is 968, 112, 254

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

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 254 is 2 x 127

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(968, 112) = 13552

GCD(968, 112) = ( 968 x 112 ) / 13552

GCD(968, 112) = 108416 / 13552

GCD(968, 112) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 254

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

LCM(8, 254) = 1016

GCD(8, 254) = ( 8 x 254 ) / 1016

GCD(8, 254) = 2032 / 1016

GCD(8, 254) = 2

GCD of 968, 112, 254 is 2

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1. What is the GCD of 968, 112, 254?

GCD of 968, 112, 254 is 2

2. Where do I get the detailed procedure to find GCD of 968, 112, 254?

You can find a detailed procedure to find GCD of 968, 112, 254 on our page.

3. How to find GCD of 968, 112, 254 on a calculator?

You can find the GCD of 968, 112, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.