GCD of 608, 868, 736 Calculator

Given Input numbers are 608, 868, 736

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 608, 868, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 868, 736 is 4.

Therefore, GCD of numbers 608, 868, 736 is 4

Given Input Data is 608, 868, 736

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(608, 868) = 131936

GCD(608, 868) = ( 608 x 868 ) / 131936

GCD(608, 868) = 527744 / 131936

GCD(608, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 736

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

LCM(4, 736) = 736

GCD(4, 736) = ( 4 x 736 ) / 736

GCD(4, 736) = 2944 / 736

GCD(4, 736) = 4

GCD of 608, 868, 736 is 4

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1. What is the GCD of 608, 868, 736?

GCD of 608, 868, 736 is 4

2. Where do I get the detailed procedure to find GCD of 608, 868, 736?

You can find a detailed procedure to find GCD of 608, 868, 736 on our page.

3. How to find GCD of 608, 868, 736 on a calculator?

You can find the GCD of 608, 868, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.