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, 133, 68, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 133, 68, 152 is 1
GCD(349, 133, 68, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 133, 68, 152 is 1
GCD(349, 133, 68, 152) = 1
Given Input numbers are 349, 133, 68, 152
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 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 349, 133, 68, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 133, 68, 152 is 1.
Therefore, GCD of numbers 349, 133, 68, 152 is 1
Given Input Data is 349, 133, 68, 152
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 133 is 7 x 19
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 152 is 2 x 2 x 2 x 19
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, 133) = 46417
GCD(349, 133) = ( 349 x 133 ) / 46417
GCD(349, 133) = 46417 / 46417
GCD(349, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
GCD of 349, 133, 68, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 133, 68, 152?
GCD of 349, 133, 68, 152 is 1
2. Where do I get the detailed procedure to find GCD of 349, 133, 68, 152?
You can find a detailed procedure to find GCD of 349, 133, 68, 152 on our page.
3. How to find GCD of 349, 133, 68, 152 on a calculator?
You can find the GCD of 349, 133, 68, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.