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 691, 117, 172, 339 i.e. 1 largest integer that divides all the numbers equally.
GCD of 691, 117, 172, 339 is 1
GCD(691, 117, 172, 339) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 691, 117, 172, 339 is 1
GCD(691, 117, 172, 339) = 1
Given Input numbers are 691, 117, 172, 339
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Greatest Common Divisior
We found the divisors of 691, 117, 172, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 117, 172, 339 is 1.
Therefore, GCD of numbers 691, 117, 172, 339 is 1
Given Input Data is 691, 117, 172, 339
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 691 is 691
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 339 is 3 x 113
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(691, 117) = 80847
GCD(691, 117) = ( 691 x 117 ) / 80847
GCD(691, 117) = 80847 / 80847
GCD(691, 117) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
GCD(1, 339) = 339 / 339
GCD(1, 339) = 1
GCD of 691, 117, 172, 339 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 691, 117, 172, 339?
GCD of 691, 117, 172, 339 is 1
2. Where do I get the detailed procedure to find GCD of 691, 117, 172, 339?
You can find a detailed procedure to find GCD of 691, 117, 172, 339 on our page.
3. How to find GCD of 691, 117, 172, 339 on a calculator?
You can find the GCD of 691, 117, 172, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.