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, 431, 85, 750 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 431, 85, 750 is 1
GCD(307, 431, 85, 750) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 431, 85, 750 is 1
GCD(307, 431, 85, 750) = 1
Given Input numbers are 307, 431, 85, 750
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 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Greatest Common Divisior
We found the divisors of 307, 431, 85, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 431, 85, 750 is 1.
Therefore, GCD of numbers 307, 431, 85, 750 is 1
Given Input Data is 307, 431, 85, 750
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 431 is 431
Prime Factorization of 85 is 5 x 17
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
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, 431) = 132317
GCD(307, 431) = ( 307 x 431 ) / 132317
GCD(307, 431) = 132317 / 132317
GCD(307, 431) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 750) = 750
GCD(1, 750) = ( 1 x 750 ) / 750
GCD(1, 750) = 750 / 750
GCD(1, 750) = 1
GCD of 307, 431, 85, 750 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 431, 85, 750?
GCD of 307, 431, 85, 750 is 1
2. Where do I get the detailed procedure to find GCD of 307, 431, 85, 750?
You can find a detailed procedure to find GCD of 307, 431, 85, 750 on our page.
3. How to find GCD of 307, 431, 85, 750 on a calculator?
You can find the GCD of 307, 431, 85, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.