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, 315, 80, 620 i.e. 5 largest integer that divides all the numbers equally.
GCD of 315, 315, 80, 620 is 5
GCD(315, 315, 80, 620) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 315, 80, 620 is 5
GCD(315, 315, 80, 620) = 5
Given Input numbers are 315, 315, 80, 620
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 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 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Greatest Common Divisior
We found the divisors of 315, 315, 80, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 315, 80, 620 is 5.
Therefore, GCD of numbers 315, 315, 80, 620 is 5
Given Input Data is 315, 315, 80, 620
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 315 is 3 x 3 x 5 x 7
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 620 is 2 x 2 x 5 x 31
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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, 315) = 315
GCD(315, 315) = ( 315 x 315 ) / 315
GCD(315, 315) = 99225 / 315
GCD(315, 315) = 315
Step2:
Here we consider the GCD from the above i.e. 315 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(315, 80) = 5040
GCD(315, 80) = ( 315 x 80 ) / 5040
GCD(315, 80) = 25200 / 5040
GCD(315, 80) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 620) = 620
GCD(5, 620) = ( 5 x 620 ) / 620
GCD(5, 620) = 3100 / 620
GCD(5, 620) = 5
GCD of 315, 315, 80, 620 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 315, 80, 620?
GCD of 315, 315, 80, 620 is 5
2. Where do I get the detailed procedure to find GCD of 315, 315, 80, 620?
You can find a detailed procedure to find GCD of 315, 315, 80, 620 on our page.
3. How to find GCD of 315, 315, 80, 620 on a calculator?
You can find the GCD of 315, 315, 80, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.