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 341, 652, 458, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 341, 652, 458, 133 is 1
GCD(341, 652, 458, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 341, 652, 458, 133 is 1
GCD(341, 652, 458, 133) = 1
Given Input numbers are 341, 652, 458, 133
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 341, 652, 458, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 652, 458, 133 is 1.
Therefore, GCD of numbers 341, 652, 458, 133 is 1
Given Input Data is 341, 652, 458, 133
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 341 is 11 x 31
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 458 is 2 x 229
Prime Factorization of 133 is 7 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(341, 652) = 222332
GCD(341, 652) = ( 341 x 652 ) / 222332
GCD(341, 652) = 222332 / 222332
GCD(341, 652) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 458
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 458) = 458
GCD(1, 458) = ( 1 x 458 ) / 458
GCD(1, 458) = 458 / 458
GCD(1, 458) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 341, 652, 458, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 341, 652, 458, 133?
GCD of 341, 652, 458, 133 is 1
2. Where do I get the detailed procedure to find GCD of 341, 652, 458, 133?
You can find a detailed procedure to find GCD of 341, 652, 458, 133 on our page.
3. How to find GCD of 341, 652, 458, 133 on a calculator?
You can find the GCD of 341, 652, 458, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.