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 965, 163, 345, 503 i.e. 1 largest integer that divides all the numbers equally.
GCD of 965, 163, 345, 503 is 1
GCD(965, 163, 345, 503) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 965, 163, 345, 503 is 1
GCD(965, 163, 345, 503) = 1
Given Input numbers are 965, 163, 345, 503
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Greatest Common Divisior
We found the divisors of 965, 163, 345, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 163, 345, 503 is 1.
Therefore, GCD of numbers 965, 163, 345, 503 is 1
Given Input Data is 965, 163, 345, 503
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 965 is 5 x 193
Prime Factorization of 163 is 163
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 503 is 503
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(965, 163) = 157295
GCD(965, 163) = ( 965 x 163 ) / 157295
GCD(965, 163) = 157295 / 157295
GCD(965, 163) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 503) = 503
GCD(1, 503) = ( 1 x 503 ) / 503
GCD(1, 503) = 503 / 503
GCD(1, 503) = 1
GCD of 965, 163, 345, 503 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 965, 163, 345, 503?
GCD of 965, 163, 345, 503 is 1
2. Where do I get the detailed procedure to find GCD of 965, 163, 345, 503?
You can find a detailed procedure to find GCD of 965, 163, 345, 503 on our page.
3. How to find GCD of 965, 163, 345, 503 on a calculator?
You can find the GCD of 965, 163, 345, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.