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 73, 736, 394, 295 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 736, 394, 295 is 1
GCD(73, 736, 394, 295) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 736, 394, 295 is 1
GCD(73, 736, 394, 295) = 1
Given Input numbers are 73, 736, 394, 295
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Greatest Common Divisior
We found the divisors of 73, 736, 394, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 736, 394, 295 is 1.
Therefore, GCD of numbers 73, 736, 394, 295 is 1
Given Input Data is 73, 736, 394, 295
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 394 is 2 x 197
Prime Factorization of 295 is 5 x 59
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(73, 736) = 53728
GCD(73, 736) = ( 73 x 736 ) / 53728
GCD(73, 736) = 53728 / 53728
GCD(73, 736) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
GCD(1, 394) = 394 / 394
GCD(1, 394) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 295
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 295) = 295
GCD(1, 295) = ( 1 x 295 ) / 295
GCD(1, 295) = 295 / 295
GCD(1, 295) = 1
GCD of 73, 736, 394, 295 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 736, 394, 295?
GCD of 73, 736, 394, 295 is 1
2. Where do I get the detailed procedure to find GCD of 73, 736, 394, 295?
You can find a detailed procedure to find GCD of 73, 736, 394, 295 on our page.
3. How to find GCD of 73, 736, 394, 295 on a calculator?
You can find the GCD of 73, 736, 394, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.