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 65, 363, 617, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 363, 617, 220 is 1
GCD(65, 363, 617, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 363, 617, 220 is 1
GCD(65, 363, 617, 220) = 1
Given Input numbers are 65, 363, 617, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 65, 363, 617, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 363, 617, 220 is 1.
Therefore, GCD of numbers 65, 363, 617, 220 is 1
Given Input Data is 65, 363, 617, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 617 is 617
Prime Factorization of 220 is 2 x 2 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(65, 363) = 23595
GCD(65, 363) = ( 65 x 363 ) / 23595
GCD(65, 363) = 23595 / 23595
GCD(65, 363) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 617) = 617
GCD(1, 617) = ( 1 x 617 ) / 617
GCD(1, 617) = 617 / 617
GCD(1, 617) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 65, 363, 617, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 363, 617, 220?
GCD of 65, 363, 617, 220 is 1
2. Where do I get the detailed procedure to find GCD of 65, 363, 617, 220?
You can find a detailed procedure to find GCD of 65, 363, 617, 220 on our page.
3. How to find GCD of 65, 363, 617, 220 on a calculator?
You can find the GCD of 65, 363, 617, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.