GCD of 210, 588, 353, 861 Calculator

Given Input numbers are 210, 588, 353, 861

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 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 210, 588, 353, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 588, 353, 861 is 1.

Therefore, GCD of numbers 210, 588, 353, 861 is 1

Given Input Data is 210, 588, 353, 861

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 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 353 is 353

Prime Factorization of 861 is 3 x 7 x 41

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, 588) = 2940

GCD(210, 588) = ( 210 x 588 ) / 2940

GCD(210, 588) = 123480 / 2940

GCD(210, 588) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 353

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

LCM(42, 353) = 14826

GCD(42, 353) = ( 42 x 353 ) / 14826

GCD(42, 353) = 14826 / 14826

GCD(42, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

GCD of 210, 588, 353, 861 is 1

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• GCD of 218, 714, 656, 666
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1. What is the GCD of 210, 588, 353, 861?

GCD of 210, 588, 353, 861 is 1

2. Where do I get the detailed procedure to find GCD of 210, 588, 353, 861?

You can find a detailed procedure to find GCD of 210, 588, 353, 861 on our page.

3. How to find GCD of 210, 588, 353, 861 on a calculator?

You can find the GCD of 210, 588, 353, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.