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 341, 918, 31, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 341, 918, 31, 695 is 1
GCD(341, 918, 31, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 341, 918, 31, 695 is 1
GCD(341, 918, 31, 695) = 1
Given Input numbers are 341, 918, 31, 695
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 341, 918, 31, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 918, 31, 695 is 1.
Therefore, GCD of numbers 341, 918, 31, 695 is 1
Given Input Data is 341, 918, 31, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 341 is 11 x 31
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 31 is 31
Prime Factorization of 695 is 5 x 139
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(341, 918) = 313038
GCD(341, 918) = ( 341 x 918 ) / 313038
GCD(341, 918) = 313038 / 313038
GCD(341, 918) = 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 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
GCD(1, 695) = 695 / 695
GCD(1, 695) = 1
GCD of 341, 918, 31, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 341, 918, 31, 695?
GCD of 341, 918, 31, 695 is 1
2. Where do I get the detailed procedure to find GCD of 341, 918, 31, 695?
You can find a detailed procedure to find GCD of 341, 918, 31, 695 on our page.
3. How to find GCD of 341, 918, 31, 695 on a calculator?
You can find the GCD of 341, 918, 31, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.