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, 104, 31, 626 i.e. 1 largest integer that divides all the numbers equally.
GCD of 691, 104, 31, 626 is 1
GCD(691, 104, 31, 626) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 691, 104, 31, 626 is 1
GCD(691, 104, 31, 626) = 1
Given Input numbers are 691, 104, 31, 626
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 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Greatest Common Divisior
We found the divisors of 691, 104, 31, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 104, 31, 626 is 1.
Therefore, GCD of numbers 691, 104, 31, 626 is 1
Given Input Data is 691, 104, 31, 626
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 691 is 691
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 31 is 31
Prime Factorization of 626 is 2 x 313
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, 104) = 71864
GCD(691, 104) = ( 691 x 104 ) / 71864
GCD(691, 104) = 71864 / 71864
GCD(691, 104) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 626) = 626
GCD(1, 626) = ( 1 x 626 ) / 626
GCD(1, 626) = 626 / 626
GCD(1, 626) = 1
GCD of 691, 104, 31, 626 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 691, 104, 31, 626?
GCD of 691, 104, 31, 626 is 1
2. Where do I get the detailed procedure to find GCD of 691, 104, 31, 626?
You can find a detailed procedure to find GCD of 691, 104, 31, 626 on our page.
3. How to find GCD of 691, 104, 31, 626 on a calculator?
You can find the GCD of 691, 104, 31, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.