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, 198, 145, 350 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 198, 145, 350 is 1
GCD(349, 198, 145, 350) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 198, 145, 350 is 1
GCD(349, 198, 145, 350) = 1
Given Input numbers are 349, 198, 145, 350
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 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Greatest Common Divisior
We found the divisors of 349, 198, 145, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 198, 145, 350 is 1.
Therefore, GCD of numbers 349, 198, 145, 350 is 1
Given Input Data is 349, 198, 145, 350
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 145 is 5 x 29
Prime Factorization of 350 is 2 x 5 x 5 x 7
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, 198) = 69102
GCD(349, 198) = ( 349 x 198 ) / 69102
GCD(349, 198) = 69102 / 69102
GCD(349, 198) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 350
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 350) = 350
GCD(1, 350) = ( 1 x 350 ) / 350
GCD(1, 350) = 350 / 350
GCD(1, 350) = 1
GCD of 349, 198, 145, 350 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 198, 145, 350?
GCD of 349, 198, 145, 350 is 1
2. Where do I get the detailed procedure to find GCD of 349, 198, 145, 350?
You can find a detailed procedure to find GCD of 349, 198, 145, 350 on our page.
3. How to find GCD of 349, 198, 145, 350 on a calculator?
You can find the GCD of 349, 198, 145, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.