GCD of 560, 325, 360 Calculator

Given Input numbers are 560, 325, 360

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 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 560, 325, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 325, 360 is 5.

Therefore, GCD of numbers 560, 325, 360 is 5

Given Input Data is 560, 325, 360

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 325 is 5 x 5 x 13

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 325) = 36400

GCD(560, 325) = ( 560 x 325 ) / 36400

GCD(560, 325) = 182000 / 36400

GCD(560, 325) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 360

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

LCM(5, 360) = 360

GCD(5, 360) = ( 5 x 360 ) / 360

GCD(5, 360) = 1800 / 360

GCD(5, 360) = 5

GCD of 560, 325, 360 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 780, 409
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• GCD of 748, 964, 592
• GCD of 213, 295, 449
• GCD of 634, 151, 230

1. What is the GCD of 560, 325, 360?

GCD of 560, 325, 360 is 5

2. Where do I get the detailed procedure to find GCD of 560, 325, 360?

You can find a detailed procedure to find GCD of 560, 325, 360 on our page.

3. How to find GCD of 560, 325, 360 on a calculator?

You can find the GCD of 560, 325, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.