GCD of 768, 276, 716 Calculator

Given Input numbers are 768, 276, 716

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

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 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 768, 276, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 276, 716 is 4.

Therefore, GCD of numbers 768, 276, 716 is 4

Given Input Data is 768, 276, 716

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

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 276 is 2 x 2 x 3 x 23

Prime Factorization of 716 is 2 x 2 x 179

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(768, 276) = 17664

GCD(768, 276) = ( 768 x 276 ) / 17664

GCD(768, 276) = 211968 / 17664

GCD(768, 276) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 716

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

LCM(12, 716) = 2148

GCD(12, 716) = ( 12 x 716 ) / 2148

GCD(12, 716) = 8592 / 2148

GCD(12, 716) = 4

GCD of 768, 276, 716 is 4

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1. What is the GCD of 768, 276, 716?

GCD of 768, 276, 716 is 4

2. Where do I get the detailed procedure to find GCD of 768, 276, 716?

You can find a detailed procedure to find GCD of 768, 276, 716 on our page.

3. How to find GCD of 768, 276, 716 on a calculator?

You can find the GCD of 768, 276, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.