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 722, 831, 100, 171 i.e. 1 largest integer that divides all the numbers equally.
GCD of 722, 831, 100, 171 is 1
GCD(722, 831, 100, 171) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 722, 831, 100, 171 is 1
GCD(722, 831, 100, 171) = 1
Given Input numbers are 722, 831, 100, 171
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Greatest Common Divisior
We found the divisors of 722, 831, 100, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 831, 100, 171 is 1.
Therefore, GCD of numbers 722, 831, 100, 171 is 1
Given Input Data is 722, 831, 100, 171
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 831 is 3 x 277
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 171 is 3 x 3 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(722, 831) = 599982
GCD(722, 831) = ( 722 x 831 ) / 599982
GCD(722, 831) = 599982 / 599982
GCD(722, 831) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
GCD(1, 100) = 100 / 100
GCD(1, 100) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
GCD(1, 171) = 171 / 171
GCD(1, 171) = 1
GCD of 722, 831, 100, 171 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 722, 831, 100, 171?
GCD of 722, 831, 100, 171 is 1
2. Where do I get the detailed procedure to find GCD of 722, 831, 100, 171?
You can find a detailed procedure to find GCD of 722, 831, 100, 171 on our page.
3. How to find GCD of 722, 831, 100, 171 on a calculator?
You can find the GCD of 722, 831, 100, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.