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 315, 215, 920, 863 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 215, 920, 863 is 1
GCD(315, 215, 920, 863) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 215, 920, 863 is 1
GCD(315, 215, 920, 863) = 1
Given Input numbers are 315, 215, 920, 863
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 863
List of positive integer divisors of 863 that divides 863 without a remainder.
1, 863
Greatest Common Divisior
We found the divisors of 315, 215, 920, 863 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 215, 920, 863 is 1.
Therefore, GCD of numbers 315, 215, 920, 863 is 1
Given Input Data is 315, 215, 920, 863
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 215 is 5 x 43
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 863 is 863
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(315, 215) = 13545
GCD(315, 215) = ( 315 x 215 ) / 13545
GCD(315, 215) = 67725 / 13545
GCD(315, 215) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 920) = 920
GCD(5, 920) = ( 5 x 920 ) / 920
GCD(5, 920) = 4600 / 920
GCD(5, 920) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 863
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 863) = 4315
GCD(5, 863) = ( 5 x 863 ) / 4315
GCD(5, 863) = 4315 / 4315
GCD(5, 863) = 1
GCD of 315, 215, 920, 863 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 215, 920, 863?
GCD of 315, 215, 920, 863 is 1
2. Where do I get the detailed procedure to find GCD of 315, 215, 920, 863?
You can find a detailed procedure to find GCD of 315, 215, 920, 863 on our page.
3. How to find GCD of 315, 215, 920, 863 on a calculator?
You can find the GCD of 315, 215, 920, 863 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.