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 991, 689, 104, 342 i.e. 1 largest integer that divides all the numbers equally.
GCD of 991, 689, 104, 342 is 1
GCD(991, 689, 104, 342) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 991, 689, 104, 342 is 1
GCD(991, 689, 104, 342) = 1
Given Input numbers are 991, 689, 104, 342
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Greatest Common Divisior
We found the divisors of 991, 689, 104, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 689, 104, 342 is 1.
Therefore, GCD of numbers 991, 689, 104, 342 is 1
Given Input Data is 991, 689, 104, 342
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 991 is 991
Prime Factorization of 689 is 13 x 53
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 342 is 2 x 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(991, 689) = 682799
GCD(991, 689) = ( 991 x 689 ) / 682799
GCD(991, 689) = 682799 / 682799
GCD(991, 689) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
GCD(1, 342) = 342 / 342
GCD(1, 342) = 1
GCD of 991, 689, 104, 342 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 991, 689, 104, 342?
GCD of 991, 689, 104, 342 is 1
2. Where do I get the detailed procedure to find GCD of 991, 689, 104, 342?
You can find a detailed procedure to find GCD of 991, 689, 104, 342 on our page.
3. How to find GCD of 991, 689, 104, 342 on a calculator?
You can find the GCD of 991, 689, 104, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.