GCD of 214, 210, 98, 629 Calculator

Given Input numbers are 214, 210, 98, 629

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 214, 210, 98, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 210, 98, 629 is 1.

Therefore, GCD of numbers 214, 210, 98, 629 is 1

Given Input Data is 214, 210, 98, 629

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

Prime Factorization of 214 is 2 x 107

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 629 is 17 x 37

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(214, 210) = 22470

GCD(214, 210) = ( 214 x 210 ) / 22470

GCD(214, 210) = 44940 / 22470

GCD(214, 210) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 629

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

LCM(2, 629) = 1258

GCD(2, 629) = ( 2 x 629 ) / 1258

GCD(2, 629) = 1258 / 1258

GCD(2, 629) = 1

GCD of 214, 210, 98, 629 is 1

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1. What is the GCD of 214, 210, 98, 629?

GCD of 214, 210, 98, 629 is 1

2. Where do I get the detailed procedure to find GCD of 214, 210, 98, 629?

You can find a detailed procedure to find GCD of 214, 210, 98, 629 on our page.

3. How to find GCD of 214, 210, 98, 629 on a calculator?

You can find the GCD of 214, 210, 98, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.