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 307, 723, 531, 785 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 723, 531, 785 is 1
GCD(307, 723, 531, 785) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 723, 531, 785 is 1
GCD(307, 723, 531, 785) = 1
Given Input numbers are 307, 723, 531, 785
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Greatest Common Divisior
We found the divisors of 307, 723, 531, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 723, 531, 785 is 1.
Therefore, GCD of numbers 307, 723, 531, 785 is 1
Given Input Data is 307, 723, 531, 785
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 723 is 3 x 241
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 785 is 5 x 157
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(307, 723) = 221961
GCD(307, 723) = ( 307 x 723 ) / 221961
GCD(307, 723) = 221961 / 221961
GCD(307, 723) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 531) = 531
GCD(1, 531) = ( 1 x 531 ) / 531
GCD(1, 531) = 531 / 531
GCD(1, 531) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 785
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 785) = 785
GCD(1, 785) = ( 1 x 785 ) / 785
GCD(1, 785) = 785 / 785
GCD(1, 785) = 1
GCD of 307, 723, 531, 785 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 723, 531, 785?
GCD of 307, 723, 531, 785 is 1
2. Where do I get the detailed procedure to find GCD of 307, 723, 531, 785?
You can find a detailed procedure to find GCD of 307, 723, 531, 785 on our page.
3. How to find GCD of 307, 723, 531, 785 on a calculator?
You can find the GCD of 307, 723, 531, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.