GCD of 590, 360, 630 Calculator

Given Input numbers are 590, 360, 630

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 590, 360, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 360, 630 is 10.

Therefore, GCD of numbers 590, 360, 630 is 10

Given Input Data is 590, 360, 630

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

Prime Factorization of 590 is 2 x 5 x 59

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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(590, 360) = 21240

GCD(590, 360) = ( 590 x 360 ) / 21240

GCD(590, 360) = 212400 / 21240

GCD(590, 360) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 630

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

LCM(10, 630) = 630

GCD(10, 630) = ( 10 x 630 ) / 630

GCD(10, 630) = 6300 / 630

GCD(10, 630) = 10

GCD of 590, 360, 630 is 10

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1. What is the GCD of 590, 360, 630?

GCD of 590, 360, 630 is 10

2. Where do I get the detailed procedure to find GCD of 590, 360, 630?

You can find a detailed procedure to find GCD of 590, 360, 630 on our page.

3. How to find GCD of 590, 360, 630 on a calculator?

You can find the GCD of 590, 360, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.