GCD of 210, 217, 68, 624 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 210, 217, 68, 624 i.e. 1 largest integer that divides all the numbers equally.

GCD of 210, 217, 68, 624 is 1

GCD(210, 217, 68, 624) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 210, 217, 68, 624 is 1

GCD(210, 217, 68, 624) = 1

GCD of 210,217,68,624 Calculator

GCDof 210,217,68,624 is 1

Given Input numbers are 210, 217, 68, 624

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 210, 217, 68, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 217, 68, 624 is 1.

Therefore, GCD of numbers 210, 217, 68, 624 is 1

Finding GCD of 210, 217, 68, 624 using Prime Factorization

Given Input Data is 210, 217, 68, 624

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 217 is 7 x 31

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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

Finding GCD of 210, 217, 68, 624 using LCM Formula

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, 217) = 6510

GCD(210, 217) = ( 210 x 217 ) / 6510

GCD(210, 217) = 45570 / 6510

GCD(210, 217) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 68

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

LCM(7, 68) = 476

GCD(7, 68) = ( 7 x 68 ) / 476

GCD(7, 68) = 476 / 476

GCD(7, 68) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

GCD of 210, 217, 68, 624 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 210, 217, 68, 624

1. What is the GCD of 210, 217, 68, 624?

GCD of 210, 217, 68, 624 is 1


2. Where do I get the detailed procedure to find GCD of 210, 217, 68, 624?

You can find a detailed procedure to find GCD of 210, 217, 68, 624 on our page.


3. How to find GCD of 210, 217, 68, 624 on a calculator?

You can find the GCD of 210, 217, 68, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.