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 40, 176, 901, 615 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 176, 901, 615 is 1
GCD(40, 176, 901, 615) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 176, 901, 615 is 1
GCD(40, 176, 901, 615) = 1
Given Input numbers are 40, 176, 901, 615
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
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 40, 176, 901, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 176, 901, 615 is 1.
Therefore, GCD of numbers 40, 176, 901, 615 is 1
Given Input Data is 40, 176, 901, 615
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 901 is 17 x 53
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(40, 176) = 880
GCD(40, 176) = ( 40 x 176 ) / 880
GCD(40, 176) = 7040 / 880
GCD(40, 176) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 901) = 7208
GCD(8, 901) = ( 8 x 901 ) / 7208
GCD(8, 901) = 7208 / 7208
GCD(8, 901) = 1
Step3:
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 40, 176, 901, 615 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 176, 901, 615?
GCD of 40, 176, 901, 615 is 1
2. Where do I get the detailed procedure to find GCD of 40, 176, 901, 615?
You can find a detailed procedure to find GCD of 40, 176, 901, 615 on our page.
3. How to find GCD of 40, 176, 901, 615 on a calculator?
You can find the GCD of 40, 176, 901, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.