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 720, 170, 799, 931 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 170, 799, 931 is 1
GCD(720, 170, 799, 931) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 170, 799, 931 is 1
GCD(720, 170, 799, 931) = 1
Given Input numbers are 720, 170, 799, 931
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Greatest Common Divisior
We found the divisors of 720, 170, 799, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 170, 799, 931 is 1.
Therefore, GCD of numbers 720, 170, 799, 931 is 1
Given Input Data is 720, 170, 799, 931
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 799 is 17 x 47
Prime Factorization of 931 is 7 x 7 x 19
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(720, 170) = 12240
GCD(720, 170) = ( 720 x 170 ) / 12240
GCD(720, 170) = 122400 / 12240
GCD(720, 170) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 799) = 7990
GCD(10, 799) = ( 10 x 799 ) / 7990
GCD(10, 799) = 7990 / 7990
GCD(10, 799) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
GCD of 720, 170, 799, 931 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 170, 799, 931?
GCD of 720, 170, 799, 931 is 1
2. Where do I get the detailed procedure to find GCD of 720, 170, 799, 931?
You can find a detailed procedure to find GCD of 720, 170, 799, 931 on our page.
3. How to find GCD of 720, 170, 799, 931 on a calculator?
You can find the GCD of 720, 170, 799, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.