GCD of 796, 744, 560 Calculator

Given Input numbers are 796, 744, 560

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 796, 744, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 744, 560 is 4.

Therefore, GCD of numbers 796, 744, 560 is 4

Given Input Data is 796, 744, 560

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(796, 744) = 148056

GCD(796, 744) = ( 796 x 744 ) / 148056

GCD(796, 744) = 592224 / 148056

GCD(796, 744) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 560

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

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

GCD(4, 560) = 2240 / 560

GCD(4, 560) = 4

GCD of 796, 744, 560 is 4

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1. What is the GCD of 796, 744, 560?

GCD of 796, 744, 560 is 4

2. Where do I get the detailed procedure to find GCD of 796, 744, 560?

You can find a detailed procedure to find GCD of 796, 744, 560 on our page.

3. How to find GCD of 796, 744, 560 on a calculator?

You can find the GCD of 796, 744, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.