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 624, 255, 241, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 624, 255, 241, 146 is 1
GCD(624, 255, 241, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 624, 255, 241, 146 is 1
GCD(624, 255, 241, 146) = 1
Given Input numbers are 624, 255, 241, 146
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 624, 255, 241, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 255, 241, 146 is 1.
Therefore, GCD of numbers 624, 255, 241, 146 is 1
Given Input Data is 624, 255, 241, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 241 is 241
Prime Factorization of 146 is 2 x 73
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(624, 255) = 53040
GCD(624, 255) = ( 624 x 255 ) / 53040
GCD(624, 255) = 159120 / 53040
GCD(624, 255) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 241) = 723
GCD(3, 241) = ( 3 x 241 ) / 723
GCD(3, 241) = 723 / 723
GCD(3, 241) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 624, 255, 241, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 624, 255, 241, 146?
GCD of 624, 255, 241, 146 is 1
2. Where do I get the detailed procedure to find GCD of 624, 255, 241, 146?
You can find a detailed procedure to find GCD of 624, 255, 241, 146 on our page.
3. How to find GCD of 624, 255, 241, 146 on a calculator?
You can find the GCD of 624, 255, 241, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.