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 506, 760, 918, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 506, 760, 918, 123 is 1
GCD(506, 760, 918, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 506, 760, 918, 123 is 1
GCD(506, 760, 918, 123) = 1
Given Input numbers are 506, 760, 918, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Greatest Common Divisior
We found the divisors of 506, 760, 918, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 760, 918, 123 is 1.
Therefore, GCD of numbers 506, 760, 918, 123 is 1
Given Input Data is 506, 760, 918, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 506 is 2 x 11 x 23
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 123 is 3 x 41
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(506, 760) = 192280
GCD(506, 760) = ( 506 x 760 ) / 192280
GCD(506, 760) = 384560 / 192280
GCD(506, 760) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
GCD(2, 918) = 1836 / 918
GCD(2, 918) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 123) = 246
GCD(2, 123) = ( 2 x 123 ) / 246
GCD(2, 123) = 246 / 246
GCD(2, 123) = 1
GCD of 506, 760, 918, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 506, 760, 918, 123?
GCD of 506, 760, 918, 123 is 1
2. Where do I get the detailed procedure to find GCD of 506, 760, 918, 123?
You can find a detailed procedure to find GCD of 506, 760, 918, 123 on our page.
3. How to find GCD of 506, 760, 918, 123 on a calculator?
You can find the GCD of 506, 760, 918, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.