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 735, 245, 73, 195 i.e. 1 largest integer that divides all the numbers equally.
GCD of 735, 245, 73, 195 is 1
GCD(735, 245, 73, 195) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 735, 245, 73, 195 is 1
GCD(735, 245, 73, 195) = 1
Given Input numbers are 735, 245, 73, 195
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Greatest Common Divisior
We found the divisors of 735, 245, 73, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 245, 73, 195 is 1.
Therefore, GCD of numbers 735, 245, 73, 195 is 1
Given Input Data is 735, 245, 73, 195
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 73 is 73
Prime Factorization of 195 is 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(735, 245) = 735
GCD(735, 245) = ( 735 x 245 ) / 735
GCD(735, 245) = 180075 / 735
GCD(735, 245) = 245
Step2:
Here we consider the GCD from the above i.e. 245 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(245, 73) = 17885
GCD(245, 73) = ( 245 x 73 ) / 17885
GCD(245, 73) = 17885 / 17885
GCD(245, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
GCD(1, 195) = 195 / 195
GCD(1, 195) = 1
GCD of 735, 245, 73, 195 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 735, 245, 73, 195?
GCD of 735, 245, 73, 195 is 1
2. Where do I get the detailed procedure to find GCD of 735, 245, 73, 195?
You can find a detailed procedure to find GCD of 735, 245, 73, 195 on our page.
3. How to find GCD of 735, 245, 73, 195 on a calculator?
You can find the GCD of 735, 245, 73, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.