GCD of 564, 759, 15 Calculator

Given Input numbers are 564, 759, 15

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Greatest Common Divisior

We found the divisors of 564, 759, 15 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 759, 15 is 3.

Therefore, GCD of numbers 564, 759, 15 is 3

Given Input Data is 564, 759, 15

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 15 is 3 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(564, 759) = 142692

GCD(564, 759) = ( 564 x 759 ) / 142692

GCD(564, 759) = 428076 / 142692

GCD(564, 759) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

GCD of 564, 759, 15 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 981, 25
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1. What is the GCD of 564, 759, 15?

GCD of 564, 759, 15 is 3

2. Where do I get the detailed procedure to find GCD of 564, 759, 15?

You can find a detailed procedure to find GCD of 564, 759, 15 on our page.

3. How to find GCD of 564, 759, 15 on a calculator?

You can find the GCD of 564, 759, 15 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.