GCD of 800, 312, 758 Calculator

Given Input numbers are 800, 312, 758

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 800, 312, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 312, 758 is 2.

Therefore, GCD of numbers 800, 312, 758 is 2

Given Input Data is 800, 312, 758

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(800, 312) = 31200

GCD(800, 312) = ( 800 x 312 ) / 31200

GCD(800, 312) = 249600 / 31200

GCD(800, 312) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 758

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

LCM(8, 758) = 3032

GCD(8, 758) = ( 8 x 758 ) / 3032

GCD(8, 758) = 6064 / 3032

GCD(8, 758) = 2

GCD of 800, 312, 758 is 2

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1. What is the GCD of 800, 312, 758?

GCD of 800, 312, 758 is 2

2. Where do I get the detailed procedure to find GCD of 800, 312, 758?

You can find a detailed procedure to find GCD of 800, 312, 758 on our page.

3. How to find GCD of 800, 312, 758 on a calculator?

You can find the GCD of 800, 312, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.