GCD of 210, 636, 21, 714 Calculator

Given Input numbers are 210, 636, 21, 714

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 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 210, 636, 21, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 636, 21, 714 is 3.

Therefore, GCD of numbers 210, 636, 21, 714 is 3

Given Input Data is 210, 636, 21, 714

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 636 is 2 x 2 x 3 x 53

Prime Factorization of 21 is 3 x 7

Prime Factorization of 714 is 2 x 3 x 7 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 636) = 22260

GCD(210, 636) = ( 210 x 636 ) / 22260

GCD(210, 636) = 133560 / 22260

GCD(210, 636) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 21

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

LCM(6, 21) = 42

GCD(6, 21) = ( 6 x 21 ) / 42

GCD(6, 21) = 126 / 42

GCD(6, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 714

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

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

GCD(3, 714) = 2142 / 714

GCD(3, 714) = 3

GCD of 210, 636, 21, 714 is 3

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• GCD of 168, 404, 99, 241
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• GCD of 762, 802, 28, 692

1. What is the GCD of 210, 636, 21, 714?

GCD of 210, 636, 21, 714 is 3

2. Where do I get the detailed procedure to find GCD of 210, 636, 21, 714?

You can find a detailed procedure to find GCD of 210, 636, 21, 714 on our page.

3. How to find GCD of 210, 636, 21, 714 on a calculator?

You can find the GCD of 210, 636, 21, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.