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 160, 690, 721 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 690, 721 is 1
GCD(160, 690, 721) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 690, 721 is 1
GCD(160, 690, 721) = 1
Given Input numbers are 160, 690, 721
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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 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 160, 690, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 690, 721 is 1.
Therefore, GCD of numbers 160, 690, 721 is 1
Given Input Data is 160, 690, 721
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 690 is 2 x 3 x 5 x 23
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(160, 690) = 11040
GCD(160, 690) = ( 160 x 690 ) / 11040
GCD(160, 690) = 110400 / 11040
GCD(160, 690) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 721) = 7210
GCD(10, 721) = ( 10 x 721 ) / 7210
GCD(10, 721) = 7210 / 7210
GCD(10, 721) = 1
GCD of 160, 690, 721 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 690, 721?
GCD of 160, 690, 721 is 1
2. Where do I get the detailed procedure to find GCD of 160, 690, 721?
You can find a detailed procedure to find GCD of 160, 690, 721 on our page.
3. How to find GCD of 160, 690, 721 on a calculator?
You can find the GCD of 160, 690, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.