GCD of 210, 721, 302, 130 Calculator

Given Input numbers are 210, 721, 302, 130

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 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 210, 721, 302, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 721, 302, 130 is 1.

Therefore, GCD of numbers 210, 721, 302, 130 is 1

Given Input Data is 210, 721, 302, 130

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 721 is 7 x 103

Prime Factorization of 302 is 2 x 151

Prime Factorization of 130 is 2 x 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

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, 721) = 21630

GCD(210, 721) = ( 210 x 721 ) / 21630

GCD(210, 721) = 151410 / 21630

GCD(210, 721) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 302

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

LCM(7, 302) = 2114

GCD(7, 302) = ( 7 x 302 ) / 2114

GCD(7, 302) = 2114 / 2114

GCD(7, 302) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 210, 721, 302, 130 is 1

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1. What is the GCD of 210, 721, 302, 130?

GCD of 210, 721, 302, 130 is 1

2. Where do I get the detailed procedure to find GCD of 210, 721, 302, 130?

You can find a detailed procedure to find GCD of 210, 721, 302, 130 on our page.

3. How to find GCD of 210, 721, 302, 130 on a calculator?

You can find the GCD of 210, 721, 302, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.