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, 695, 32, 353 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 695, 32, 353 is 1
GCD(349, 695, 32, 353) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 695, 32, 353 is 1
GCD(349, 695, 32, 353) = 1
Given Input numbers are 349, 695, 32, 353
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 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Greatest Common Divisior
We found the divisors of 349, 695, 32, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 695, 32, 353 is 1.
Therefore, GCD of numbers 349, 695, 32, 353 is 1
Given Input Data is 349, 695, 32, 353
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 695 is 5 x 139
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 353 is 353
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, 695) = 242555
GCD(349, 695) = ( 349 x 695 ) / 242555
GCD(349, 695) = 242555 / 242555
GCD(349, 695) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
GCD(1, 353) = 353 / 353
GCD(1, 353) = 1
GCD of 349, 695, 32, 353 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 695, 32, 353?
GCD of 349, 695, 32, 353 is 1
2. Where do I get the detailed procedure to find GCD of 349, 695, 32, 353?
You can find a detailed procedure to find GCD of 349, 695, 32, 353 on our page.
3. How to find GCD of 349, 695, 32, 353 on a calculator?
You can find the GCD of 349, 695, 32, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.