GCD of 213, 361, 70, 682 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 213, 361, 70, 682 i.e. 1 largest integer that divides all the numbers equally.

GCD of 213, 361, 70, 682 is 1

GCD(213, 361, 70, 682) = 1

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

GCD of

GCD of numbers 213, 361, 70, 682 is 1

GCD(213, 361, 70, 682) = 1

GCD of 213,361,70,682 Calculator

GCDof 213,361,70,682 is 1

Given Input numbers are 213, 361, 70, 682

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 213, 361, 70, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 361, 70, 682 is 1.

Therefore, GCD of numbers 213, 361, 70, 682 is 1

Finding GCD of 213, 361, 70, 682 using Prime Factorization

Given Input Data is 213, 361, 70, 682

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 361 is 19 x 19

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 682 is 2 x 11 x 31

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

Finding GCD of 213, 361, 70, 682 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(213, 361) = 76893

GCD(213, 361) = ( 213 x 361 ) / 76893

GCD(213, 361) = 76893 / 76893

GCD(213, 361) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 213, 361, 70, 682 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 213, 361, 70, 682

1. What is the GCD of 213, 361, 70, 682?

GCD of 213, 361, 70, 682 is 1


2. Where do I get the detailed procedure to find GCD of 213, 361, 70, 682?

You can find a detailed procedure to find GCD of 213, 361, 70, 682 on our page.


3. How to find GCD of 213, 361, 70, 682 on a calculator?

You can find the GCD of 213, 361, 70, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.