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, 187, 590, 650 i.e. 1 largest integer that divides all the numbers equally.
GCD of 341, 187, 590, 650 is 1
GCD(341, 187, 590, 650) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 341, 187, 590, 650 is 1
GCD(341, 187, 590, 650) = 1
Given Input numbers are 341, 187, 590, 650
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 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Greatest Common Divisior
We found the divisors of 341, 187, 590, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 187, 590, 650 is 1.
Therefore, GCD of numbers 341, 187, 590, 650 is 1
Given Input Data is 341, 187, 590, 650
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 341 is 11 x 31
Prime Factorization of 187 is 11 x 17
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 650 is 2 x 5 x 5 x 13
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, 187) = 5797
GCD(341, 187) = ( 341 x 187 ) / 5797
GCD(341, 187) = 63767 / 5797
GCD(341, 187) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 590
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 590) = 6490
GCD(11, 590) = ( 11 x 590 ) / 6490
GCD(11, 590) = 6490 / 6490
GCD(11, 590) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 650) = 650
GCD(1, 650) = ( 1 x 650 ) / 650
GCD(1, 650) = 650 / 650
GCD(1, 650) = 1
GCD of 341, 187, 590, 650 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 341, 187, 590, 650?
GCD of 341, 187, 590, 650 is 1
2. Where do I get the detailed procedure to find GCD of 341, 187, 590, 650?
You can find a detailed procedure to find GCD of 341, 187, 590, 650 on our page.
3. How to find GCD of 341, 187, 590, 650 on a calculator?
You can find the GCD of 341, 187, 590, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.