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, 865, 922, 780 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 865, 922, 780 is 1
GCD(315, 865, 922, 780) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 865, 922, 780 is 1
GCD(315, 865, 922, 780) = 1
Given Input numbers are 315, 865, 922, 780
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 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Greatest Common Divisior
We found the divisors of 315, 865, 922, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 865, 922, 780 is 1.
Therefore, GCD of numbers 315, 865, 922, 780 is 1
Given Input Data is 315, 865, 922, 780
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 865 is 5 x 173
Prime Factorization of 922 is 2 x 461
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
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, 865) = 54495
GCD(315, 865) = ( 315 x 865 ) / 54495
GCD(315, 865) = 272475 / 54495
GCD(315, 865) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 922) = 4610
GCD(5, 922) = ( 5 x 922 ) / 4610
GCD(5, 922) = 4610 / 4610
GCD(5, 922) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
GCD(1, 780) = 780 / 780
GCD(1, 780) = 1
GCD of 315, 865, 922, 780 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 865, 922, 780?
GCD of 315, 865, 922, 780 is 1
2. Where do I get the detailed procedure to find GCD of 315, 865, 922, 780?
You can find a detailed procedure to find GCD of 315, 865, 922, 780 on our page.
3. How to find GCD of 315, 865, 922, 780 on a calculator?
You can find the GCD of 315, 865, 922, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.