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 750, 365, 314, 446 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 365, 314, 446 is 1
GCD(750, 365, 314, 446) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 365, 314, 446 is 1
GCD(750, 365, 314, 446) = 1
Given Input numbers are 750, 365, 314, 446
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Greatest Common Divisior
We found the divisors of 750, 365, 314, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 365, 314, 446 is 1.
Therefore, GCD of numbers 750, 365, 314, 446 is 1
Given Input Data is 750, 365, 314, 446
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 365 is 5 x 73
Prime Factorization of 314 is 2 x 157
Prime Factorization of 446 is 2 x 223
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(750, 365) = 54750
GCD(750, 365) = ( 750 x 365 ) / 54750
GCD(750, 365) = 273750 / 54750
GCD(750, 365) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 314) = 1570
GCD(5, 314) = ( 5 x 314 ) / 1570
GCD(5, 314) = 1570 / 1570
GCD(5, 314) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 446) = 446
GCD(1, 446) = ( 1 x 446 ) / 446
GCD(1, 446) = 446 / 446
GCD(1, 446) = 1
GCD of 750, 365, 314, 446 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 365, 314, 446?
GCD of 750, 365, 314, 446 is 1
2. Where do I get the detailed procedure to find GCD of 750, 365, 314, 446?
You can find a detailed procedure to find GCD of 750, 365, 314, 446 on our page.
3. How to find GCD of 750, 365, 314, 446 on a calculator?
You can find the GCD of 750, 365, 314, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.