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 349, 967, 688, 314 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 967, 688, 314 is 1
GCD(349, 967, 688, 314) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 967, 688, 314 is 1
GCD(349, 967, 688, 314) = 1
Given Input numbers are 349, 967, 688, 314
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Greatest Common Divisior
We found the divisors of 349, 967, 688, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 967, 688, 314 is 1.
Therefore, GCD of numbers 349, 967, 688, 314 is 1
Given Input Data is 349, 967, 688, 314
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 967 is 967
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 314 is 2 x 157
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(349, 967) = 337483
GCD(349, 967) = ( 349 x 967 ) / 337483
GCD(349, 967) = 337483 / 337483
GCD(349, 967) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
GCD(1, 314) = 314 / 314
GCD(1, 314) = 1
GCD of 349, 967, 688, 314 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 967, 688, 314?
GCD of 349, 967, 688, 314 is 1
2. Where do I get the detailed procedure to find GCD of 349, 967, 688, 314?
You can find a detailed procedure to find GCD of 349, 967, 688, 314 on our page.
3. How to find GCD of 349, 967, 688, 314 on a calculator?
You can find the GCD of 349, 967, 688, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.