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, 108, 775, 464 i.e. 1 largest integer that divides all the numbers equally.
GCD of 915, 108, 775, 464 is 1
GCD(915, 108, 775, 464) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 915, 108, 775, 464 is 1
GCD(915, 108, 775, 464) = 1
Given Input numbers are 915, 108, 775, 464
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 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Greatest Common Divisior
We found the divisors of 915, 108, 775, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 108, 775, 464 is 1.
Therefore, GCD of numbers 915, 108, 775, 464 is 1
Given Input Data is 915, 108, 775, 464
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 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
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, 108) = 32940
GCD(915, 108) = ( 915 x 108 ) / 32940
GCD(915, 108) = 98820 / 32940
GCD(915, 108) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 775) = 2325
GCD(3, 775) = ( 3 x 775 ) / 2325
GCD(3, 775) = 2325 / 2325
GCD(3, 775) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 464) = 464
GCD(1, 464) = ( 1 x 464 ) / 464
GCD(1, 464) = 464 / 464
GCD(1, 464) = 1
GCD of 915, 108, 775, 464 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 915, 108, 775, 464?
GCD of 915, 108, 775, 464 is 1
2. Where do I get the detailed procedure to find GCD of 915, 108, 775, 464?
You can find a detailed procedure to find GCD of 915, 108, 775, 464 on our page.
3. How to find GCD of 915, 108, 775, 464 on a calculator?
You can find the GCD of 915, 108, 775, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.