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 915, 742, 396, 887 i.e. 1 largest integer that divides all the numbers equally.
GCD of 915, 742, 396, 887 is 1
GCD(915, 742, 396, 887) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 915, 742, 396, 887 is 1
GCD(915, 742, 396, 887) = 1
Given Input numbers are 915, 742, 396, 887
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 887
List of positive integer divisors of 887 that divides 887 without a remainder.
1, 887
Greatest Common Divisior
We found the divisors of 915, 742, 396, 887 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 742, 396, 887 is 1.
Therefore, GCD of numbers 915, 742, 396, 887 is 1
Given Input Data is 915, 742, 396, 887
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 915 is 3 x 5 x 61
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 887 is 887
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(915, 742) = 678930
GCD(915, 742) = ( 915 x 742 ) / 678930
GCD(915, 742) = 678930 / 678930
GCD(915, 742) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 887
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 887) = 887
GCD(1, 887) = ( 1 x 887 ) / 887
GCD(1, 887) = 887 / 887
GCD(1, 887) = 1
GCD of 915, 742, 396, 887 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 915, 742, 396, 887?
GCD of 915, 742, 396, 887 is 1
2. Where do I get the detailed procedure to find GCD of 915, 742, 396, 887?
You can find a detailed procedure to find GCD of 915, 742, 396, 887 on our page.
3. How to find GCD of 915, 742, 396, 887 on a calculator?
You can find the GCD of 915, 742, 396, 887 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.