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 123, 615, 496, 382 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 615, 496, 382 is 1
GCD(123, 615, 496, 382) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 615, 496, 382 is 1
GCD(123, 615, 496, 382) = 1
Given Input numbers are 123, 615, 496, 382
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Greatest Common Divisior
We found the divisors of 123, 615, 496, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 615, 496, 382 is 1.
Therefore, GCD of numbers 123, 615, 496, 382 is 1
Given Input Data is 123, 615, 496, 382
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 382 is 2 x 191
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(123, 615) = 615
GCD(123, 615) = ( 123 x 615 ) / 615
GCD(123, 615) = 75645 / 615
GCD(123, 615) = 123
Step2:
Here we consider the GCD from the above i.e. 123 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(123, 496) = 61008
GCD(123, 496) = ( 123 x 496 ) / 61008
GCD(123, 496) = 61008 / 61008
GCD(123, 496) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
GCD(1, 382) = 382 / 382
GCD(1, 382) = 1
GCD of 123, 615, 496, 382 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 615, 496, 382?
GCD of 123, 615, 496, 382 is 1
2. Where do I get the detailed procedure to find GCD of 123, 615, 496, 382?
You can find a detailed procedure to find GCD of 123, 615, 496, 382 on our page.
3. How to find GCD of 123, 615, 496, 382 on a calculator?
You can find the GCD of 123, 615, 496, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.