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 721, 714, 159, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 714, 159, 346 is 1
GCD(721, 714, 159, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 714, 159, 346 is 1
GCD(721, 714, 159, 346) = 1
Given Input numbers are 721, 714, 159, 346
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
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 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 721, 714, 159, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 714, 159, 346 is 1.
Therefore, GCD of numbers 721, 714, 159, 346 is 1
Given Input Data is 721, 714, 159, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 159 is 3 x 53
Prime Factorization of 346 is 2 x 173
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(721, 714) = 73542
GCD(721, 714) = ( 721 x 714 ) / 73542
GCD(721, 714) = 514794 / 73542
GCD(721, 714) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 159) = 1113
GCD(7, 159) = ( 7 x 159 ) / 1113
GCD(7, 159) = 1113 / 1113
GCD(7, 159) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 721, 714, 159, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 714, 159, 346?
GCD of 721, 714, 159, 346 is 1
2. Where do I get the detailed procedure to find GCD of 721, 714, 159, 346?
You can find a detailed procedure to find GCD of 721, 714, 159, 346 on our page.
3. How to find GCD of 721, 714, 159, 346 on a calculator?
You can find the GCD of 721, 714, 159, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.