GCD of 714, 412, 95, 213 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 714, 412, 95, 213 i.e. 1 largest integer that divides all the numbers equally.

GCD of 714, 412, 95, 213 is 1

GCD(714, 412, 95, 213) = 1

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

GCD of

GCD of numbers 714, 412, 95, 213 is 1

GCD(714, 412, 95, 213) = 1

GCD of 714,412,95,213 Calculator

GCDof 714,412,95,213 is 1

Given Input numbers are 714, 412, 95, 213

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

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 213

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

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 714, 412, 95, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 412, 95, 213 is 1.

Therefore, GCD of numbers 714, 412, 95, 213 is 1

Finding GCD of 714, 412, 95, 213 using Prime Factorization

Given Input Data is 714, 412, 95, 213

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

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 95 is 5 x 19

Prime Factorization of 213 is 3 x 71

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

Finding GCD of 714, 412, 95, 213 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(714, 412) = 147084

GCD(714, 412) = ( 714 x 412 ) / 147084

GCD(714, 412) = 294168 / 147084

GCD(714, 412) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 95

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

LCM(2, 95) = 190

GCD(2, 95) = ( 2 x 95 ) / 190

GCD(2, 95) = 190 / 190

GCD(2, 95) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 714, 412, 95, 213 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 714, 412, 95, 213

1. What is the GCD of 714, 412, 95, 213?

GCD of 714, 412, 95, 213 is 1


2. Where do I get the detailed procedure to find GCD of 714, 412, 95, 213?

You can find a detailed procedure to find GCD of 714, 412, 95, 213 on our page.


3. How to find GCD of 714, 412, 95, 213 on a calculator?

You can find the GCD of 714, 412, 95, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.