GCD of 560, 903, 532 Calculator

Given Input numbers are 560, 903, 532

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

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

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 560, 903, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 903, 532 is 7.

Therefore, GCD of numbers 560, 903, 532 is 7

Given Input Data is 560, 903, 532

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

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

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 532 is 2 x 2 x 7 x 19

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(560, 903) = 72240

GCD(560, 903) = ( 560 x 903 ) / 72240

GCD(560, 903) = 505680 / 72240

GCD(560, 903) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 532

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

LCM(7, 532) = 532

GCD(7, 532) = ( 7 x 532 ) / 532

GCD(7, 532) = 3724 / 532

GCD(7, 532) = 7

GCD of 560, 903, 532 is 7

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1. What is the GCD of 560, 903, 532?

GCD of 560, 903, 532 is 7

2. Where do I get the detailed procedure to find GCD of 560, 903, 532?

You can find a detailed procedure to find GCD of 560, 903, 532 on our page.

3. How to find GCD of 560, 903, 532 on a calculator?

You can find the GCD of 560, 903, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.