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 327, 245, 74, 550 i.e. 1 largest integer that divides all the numbers equally.
GCD of 327, 245, 74, 550 is 1
GCD(327, 245, 74, 550) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 327, 245, 74, 550 is 1
GCD(327, 245, 74, 550) = 1
Given Input numbers are 327, 245, 74, 550
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Greatest Common Divisior
We found the divisors of 327, 245, 74, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 245, 74, 550 is 1.
Therefore, GCD of numbers 327, 245, 74, 550 is 1
Given Input Data is 327, 245, 74, 550
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 327 is 3 x 109
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 74 is 2 x 37
Prime Factorization of 550 is 2 x 5 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(327, 245) = 80115
GCD(327, 245) = ( 327 x 245 ) / 80115
GCD(327, 245) = 80115 / 80115
GCD(327, 245) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 550) = 550
GCD(1, 550) = ( 1 x 550 ) / 550
GCD(1, 550) = 550 / 550
GCD(1, 550) = 1
GCD of 327, 245, 74, 550 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 327, 245, 74, 550?
GCD of 327, 245, 74, 550 is 1
2. Where do I get the detailed procedure to find GCD of 327, 245, 74, 550?
You can find a detailed procedure to find GCD of 327, 245, 74, 550 on our page.
3. How to find GCD of 327, 245, 74, 550 on a calculator?
You can find the GCD of 327, 245, 74, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.