GCD of 460, 710, 796, 210 Calculator

Given Input numbers are 460, 710, 796, 210

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

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

Greatest Common Divisior

We found the divisors of 460, 710, 796, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 710, 796, 210 is 2.

Therefore, GCD of numbers 460, 710, 796, 210 is 2

Given Input Data is 460, 710, 796, 210

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 796 is 2 x 2 x 199

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

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(460, 710) = 32660

GCD(460, 710) = ( 460 x 710 ) / 32660

GCD(460, 710) = 326600 / 32660

GCD(460, 710) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 796

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

LCM(10, 796) = 3980

GCD(10, 796) = ( 10 x 796 ) / 3980

GCD(10, 796) = 7960 / 3980

GCD(10, 796) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

GCD of 460, 710, 796, 210 is 2

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1. What is the GCD of 460, 710, 796, 210?

GCD of 460, 710, 796, 210 is 2

2. Where do I get the detailed procedure to find GCD of 460, 710, 796, 210?

You can find a detailed procedure to find GCD of 460, 710, 796, 210 on our page.

3. How to find GCD of 460, 710, 796, 210 on a calculator?

You can find the GCD of 460, 710, 796, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.