GCD of 868, 512, 758 Calculator

Given Input numbers are 868, 512, 758

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

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 868, 512, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 512, 758 is 2.

Therefore, GCD of numbers 868, 512, 758 is 2

Given Input Data is 868, 512, 758

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

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 758 is 2 x 379

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(868, 512) = 111104

GCD(868, 512) = ( 868 x 512 ) / 111104

GCD(868, 512) = 444416 / 111104

GCD(868, 512) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 758

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

LCM(4, 758) = 1516

GCD(4, 758) = ( 4 x 758 ) / 1516

GCD(4, 758) = 3032 / 1516

GCD(4, 758) = 2

GCD of 868, 512, 758 is 2

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1. What is the GCD of 868, 512, 758?

GCD of 868, 512, 758 is 2

2. Where do I get the detailed procedure to find GCD of 868, 512, 758?

You can find a detailed procedure to find GCD of 868, 512, 758 on our page.

3. How to find GCD of 868, 512, 758 on a calculator?

You can find the GCD of 868, 512, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.