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 487, 809, 77, 750 i.e. 1 largest integer that divides all the numbers equally.
GCD of 487, 809, 77, 750 is 1
GCD(487, 809, 77, 750) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 487, 809, 77, 750 is 1
GCD(487, 809, 77, 750) = 1
Given Input numbers are 487, 809, 77, 750
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
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 487, 809, 77, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 809, 77, 750 is 1.
Therefore, GCD of numbers 487, 809, 77, 750 is 1
Given Input Data is 487, 809, 77, 750
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 487 is 487
Prime Factorization of 809 is 809
Prime Factorization of 77 is 7 x 11
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(487, 809) = 393983
GCD(487, 809) = ( 487 x 809 ) / 393983
GCD(487, 809) = 393983 / 393983
GCD(487, 809) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 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 487, 809, 77, 750 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 487, 809, 77, 750?
GCD of 487, 809, 77, 750 is 1
2. Where do I get the detailed procedure to find GCD of 487, 809, 77, 750?
You can find a detailed procedure to find GCD of 487, 809, 77, 750 on our page.
3. How to find GCD of 487, 809, 77, 750 on a calculator?
You can find the GCD of 487, 809, 77, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.