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, 239, 66, 724 i.e. 1 largest integer that divides all the numbers equally.
GCD of 210, 239, 66, 724 is 1
GCD(210, 239, 66, 724) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 210, 239, 66, 724 is 1
GCD(210, 239, 66, 724) = 1
Given Input numbers are 210, 239, 66, 724
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 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Greatest Common Divisior
We found the divisors of 210, 239, 66, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 239, 66, 724 is 1.
Therefore, GCD of numbers 210, 239, 66, 724 is 1
Given Input Data is 210, 239, 66, 724
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 239 is 239
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 724 is 2 x 2 x 181
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(210, 239) = 50190
GCD(210, 239) = ( 210 x 239 ) / 50190
GCD(210, 239) = 50190 / 50190
GCD(210, 239) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
GCD(1, 724) = 724 / 724
GCD(1, 724) = 1
GCD of 210, 239, 66, 724 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 210, 239, 66, 724?
GCD of 210, 239, 66, 724 is 1
2. Where do I get the detailed procedure to find GCD of 210, 239, 66, 724?
You can find a detailed procedure to find GCD of 210, 239, 66, 724 on our page.
3. How to find GCD of 210, 239, 66, 724 on a calculator?
You can find the GCD of 210, 239, 66, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.