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 654, 334, 241, 595 i.e. 1 largest integer that divides all the numbers equally.
GCD of 654, 334, 241, 595 is 1
GCD(654, 334, 241, 595) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 654, 334, 241, 595 is 1
GCD(654, 334, 241, 595) = 1
Given Input numbers are 654, 334, 241, 595
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Greatest Common Divisior
We found the divisors of 654, 334, 241, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 334, 241, 595 is 1.
Therefore, GCD of numbers 654, 334, 241, 595 is 1
Given Input Data is 654, 334, 241, 595
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 334 is 2 x 167
Prime Factorization of 241 is 241
Prime Factorization of 595 is 5 x 7 x 17
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(654, 334) = 109218
GCD(654, 334) = ( 654 x 334 ) / 109218
GCD(654, 334) = 218436 / 109218
GCD(654, 334) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 241) = 482
GCD(2, 241) = ( 2 x 241 ) / 482
GCD(2, 241) = 482 / 482
GCD(2, 241) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 595
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 595) = 595
GCD(1, 595) = ( 1 x 595 ) / 595
GCD(1, 595) = 595 / 595
GCD(1, 595) = 1
GCD of 654, 334, 241, 595 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 654, 334, 241, 595?
GCD of 654, 334, 241, 595 is 1
2. Where do I get the detailed procedure to find GCD of 654, 334, 241, 595?
You can find a detailed procedure to find GCD of 654, 334, 241, 595 on our page.
3. How to find GCD of 654, 334, 241, 595 on a calculator?
You can find the GCD of 654, 334, 241, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.