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 342, 814, 29, 917 i.e. 1 largest integer that divides all the numbers equally.
GCD of 342, 814, 29, 917 is 1
GCD(342, 814, 29, 917) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 814, 29, 917 is 1
GCD(342, 814, 29, 917) = 1
Given Input numbers are 342, 814, 29, 917
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Greatest Common Divisior
We found the divisors of 342, 814, 29, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 814, 29, 917 is 1.
Therefore, GCD of numbers 342, 814, 29, 917 is 1
Given Input Data is 342, 814, 29, 917
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 29 is 29
Prime Factorization of 917 is 7 x 131
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(342, 814) = 139194
GCD(342, 814) = ( 342 x 814 ) / 139194
GCD(342, 814) = 278388 / 139194
GCD(342, 814) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 29) = 58
GCD(2, 29) = ( 2 x 29 ) / 58
GCD(2, 29) = 58 / 58
GCD(2, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 917
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 917) = 917
GCD(1, 917) = ( 1 x 917 ) / 917
GCD(1, 917) = 917 / 917
GCD(1, 917) = 1
GCD of 342, 814, 29, 917 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 342, 814, 29, 917?
GCD of 342, 814, 29, 917 is 1
2. Where do I get the detailed procedure to find GCD of 342, 814, 29, 917?
You can find a detailed procedure to find GCD of 342, 814, 29, 917 on our page.
3. How to find GCD of 342, 814, 29, 917 on a calculator?
You can find the GCD of 342, 814, 29, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.