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 133, 348, 189, 206 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 348, 189, 206 is 1
GCD(133, 348, 189, 206) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 348, 189, 206 is 1
GCD(133, 348, 189, 206) = 1
Given Input numbers are 133, 348, 189, 206
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Greatest Common Divisior
We found the divisors of 133, 348, 189, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 348, 189, 206 is 1.
Therefore, GCD of numbers 133, 348, 189, 206 is 1
Given Input Data is 133, 348, 189, 206
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 206 is 2 x 103
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(133, 348) = 46284
GCD(133, 348) = ( 133 x 348 ) / 46284
GCD(133, 348) = 46284 / 46284
GCD(133, 348) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
GCD(1, 189) = 189 / 189
GCD(1, 189) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 206
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 206) = 206
GCD(1, 206) = ( 1 x 206 ) / 206
GCD(1, 206) = 206 / 206
GCD(1, 206) = 1
GCD of 133, 348, 189, 206 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 348, 189, 206?
GCD of 133, 348, 189, 206 is 1
2. Where do I get the detailed procedure to find GCD of 133, 348, 189, 206?
You can find a detailed procedure to find GCD of 133, 348, 189, 206 on our page.
3. How to find GCD of 133, 348, 189, 206 on a calculator?
You can find the GCD of 133, 348, 189, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.