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 103, 315, 207, 165 i.e. 1 largest integer that divides all the numbers equally.
GCD of 103, 315, 207, 165 is 1
GCD(103, 315, 207, 165) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 103, 315, 207, 165 is 1
GCD(103, 315, 207, 165) = 1
Given Input numbers are 103, 315, 207, 165
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
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 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Greatest Common Divisior
We found the divisors of 103, 315, 207, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 315, 207, 165 is 1.
Therefore, GCD of numbers 103, 315, 207, 165 is 1
Given Input Data is 103, 315, 207, 165
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 103 is 103
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 165 is 3 x 5 x 11
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(103, 315) = 32445
GCD(103, 315) = ( 103 x 315 ) / 32445
GCD(103, 315) = 32445 / 32445
GCD(103, 315) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 207
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 207) = 207
GCD(1, 207) = ( 1 x 207 ) / 207
GCD(1, 207) = 207 / 207
GCD(1, 207) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
GCD(1, 165) = 165 / 165
GCD(1, 165) = 1
GCD of 103, 315, 207, 165 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 103, 315, 207, 165?
GCD of 103, 315, 207, 165 is 1
2. Where do I get the detailed procedure to find GCD of 103, 315, 207, 165?
You can find a detailed procedure to find GCD of 103, 315, 207, 165 on our page.
3. How to find GCD of 103, 315, 207, 165 on a calculator?
You can find the GCD of 103, 315, 207, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.