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 159, 690, 493, 721 i.e. 1 largest integer that divides all the numbers equally.
GCD of 159, 690, 493, 721 is 1
GCD(159, 690, 493, 721) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 159, 690, 493, 721 is 1
GCD(159, 690, 493, 721) = 1
Given Input numbers are 159, 690, 493, 721
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Greatest Common Divisior
We found the divisors of 159, 690, 493, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 690, 493, 721 is 1.
Therefore, GCD of numbers 159, 690, 493, 721 is 1
Given Input Data is 159, 690, 493, 721
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 159 is 3 x 53
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 493 is 17 x 29
Prime Factorization of 721 is 7 x 103
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(159, 690) = 36570
GCD(159, 690) = ( 159 x 690 ) / 36570
GCD(159, 690) = 109710 / 36570
GCD(159, 690) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 493) = 1479
GCD(3, 493) = ( 3 x 493 ) / 1479
GCD(3, 493) = 1479 / 1479
GCD(3, 493) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
GCD of 159, 690, 493, 721 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 159, 690, 493, 721?
GCD of 159, 690, 493, 721 is 1
2. Where do I get the detailed procedure to find GCD of 159, 690, 493, 721?
You can find a detailed procedure to find GCD of 159, 690, 493, 721 on our page.
3. How to find GCD of 159, 690, 493, 721 on a calculator?
You can find the GCD of 159, 690, 493, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.