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 148, 381, 615 i.e. 1 largest integer that divides all the numbers equally.
GCD of 148, 381, 615 is 1
GCD(148, 381, 615) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 148, 381, 615 is 1
GCD(148, 381, 615) = 1
Given Input numbers are 148, 381, 615
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Greatest Common Divisior
We found the divisors of 148, 381, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 381, 615 is 1.
Therefore, GCD of numbers 148, 381, 615 is 1
Given Input Data is 148, 381, 615
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 381 is 3 x 127
Prime Factorization of 615 is 3 x 5 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(148, 381) = 56388
GCD(148, 381) = ( 148 x 381 ) / 56388
GCD(148, 381) = 56388 / 56388
GCD(148, 381) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 615
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 615) = 615
GCD(1, 615) = ( 1 x 615 ) / 615
GCD(1, 615) = 615 / 615
GCD(1, 615) = 1
GCD of 148, 381, 615 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 148, 381, 615?
GCD of 148, 381, 615 is 1
2. Where do I get the detailed procedure to find GCD of 148, 381, 615?
You can find a detailed procedure to find GCD of 148, 381, 615 on our page.
3. How to find GCD of 148, 381, 615 on a calculator?
You can find the GCD of 148, 381, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.