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 365, 583, 75, 734 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 583, 75, 734 is 1
GCD(365, 583, 75, 734) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 583, 75, 734 is 1
GCD(365, 583, 75, 734) = 1
Given Input numbers are 365, 583, 75, 734
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Greatest Common Divisior
We found the divisors of 365, 583, 75, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 583, 75, 734 is 1.
Therefore, GCD of numbers 365, 583, 75, 734 is 1
Given Input Data is 365, 583, 75, 734
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 583 is 11 x 53
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 734 is 2 x 367
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(365, 583) = 212795
GCD(365, 583) = ( 365 x 583 ) / 212795
GCD(365, 583) = 212795 / 212795
GCD(365, 583) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
GCD of 365, 583, 75, 734 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 583, 75, 734?
GCD of 365, 583, 75, 734 is 1
2. Where do I get the detailed procedure to find GCD of 365, 583, 75, 734?
You can find a detailed procedure to find GCD of 365, 583, 75, 734 on our page.
3. How to find GCD of 365, 583, 75, 734 on a calculator?
You can find the GCD of 365, 583, 75, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.