GCD of 210, 596, 680 Calculator

Given Input numbers are 210, 596, 680

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 210, 596, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 596, 680 is 2.

Therefore, GCD of numbers 210, 596, 680 is 2

Given Input Data is 210, 596, 680

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(210, 596) = 62580

GCD(210, 596) = ( 210 x 596 ) / 62580

GCD(210, 596) = 125160 / 62580

GCD(210, 596) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

GCD of 210, 596, 680 is 2

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1. What is the GCD of 210, 596, 680?

GCD of 210, 596, 680 is 2

2. Where do I get the detailed procedure to find GCD of 210, 596, 680?

You can find a detailed procedure to find GCD of 210, 596, 680 on our page.

3. How to find GCD of 210, 596, 680 on a calculator?

You can find the GCD of 210, 596, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.