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 867, 615, 38, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 867, 615, 38, 357 is 1
GCD(867, 615, 38, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 867, 615, 38, 357 is 1
GCD(867, 615, 38, 357) = 1
Given Input numbers are 867, 615, 38, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
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 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 867, 615, 38, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 615, 38, 357 is 1.
Therefore, GCD of numbers 867, 615, 38, 357 is 1
Given Input Data is 867, 615, 38, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 38 is 2 x 19
Prime Factorization of 357 is 3 x 7 x 17
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(867, 615) = 177735
GCD(867, 615) = ( 867 x 615 ) / 177735
GCD(867, 615) = 533205 / 177735
GCD(867, 615) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 38) = 114
GCD(3, 38) = ( 3 x 38 ) / 114
GCD(3, 38) = 114 / 114
GCD(3, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 867, 615, 38, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 867, 615, 38, 357?
GCD of 867, 615, 38, 357 is 1
2. Where do I get the detailed procedure to find GCD of 867, 615, 38, 357?
You can find a detailed procedure to find GCD of 867, 615, 38, 357 on our page.
3. How to find GCD of 867, 615, 38, 357 on a calculator?
You can find the GCD of 867, 615, 38, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.