GCD of 968, 174, 24, 768 Calculator

Given Input numbers are 968, 174, 24, 768

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 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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

Greatest Common Divisior

We found the divisors of 968, 174, 24, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 174, 24, 768 is 2.

Therefore, GCD of numbers 968, 174, 24, 768 is 2

Given Input Data is 968, 174, 24, 768

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 174 is 2 x 3 x 29

Prime Factorization of 24 is 2 x 2 x 2 x 3

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

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, 174) = 84216

GCD(968, 174) = ( 968 x 174 ) / 84216

GCD(968, 174) = 168432 / 84216

GCD(968, 174) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 768

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

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

GCD(2, 768) = 1536 / 768

GCD(2, 768) = 2

GCD of 968, 174, 24, 768 is 2

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1. What is the GCD of 968, 174, 24, 768?

GCD of 968, 174, 24, 768 is 2

2. Where do I get the detailed procedure to find GCD of 968, 174, 24, 768?

You can find a detailed procedure to find GCD of 968, 174, 24, 768 on our page.

3. How to find GCD of 968, 174, 24, 768 on a calculator?

You can find the GCD of 968, 174, 24, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.