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 numbers 714, 412, 95, 213 is 1
GCD(714, 412, 95, 213) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.