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, 770, 779, 902 i.e. 1 largest integer that divides all the numbers equally.
GCD of 487, 770, 779, 902 is 1
GCD(487, 770, 779, 902) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 487, 770, 779, 902 is 1
GCD(487, 770, 779, 902) = 1
Given Input numbers are 487, 770, 779, 902
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 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Greatest Common Divisior
We found the divisors of 487, 770, 779, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 770, 779, 902 is 1.
Therefore, GCD of numbers 487, 770, 779, 902 is 1
Given Input Data is 487, 770, 779, 902
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 487 is 487
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 779 is 19 x 41
Prime Factorization of 902 is 2 x 11 x 41
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, 770) = 374990
GCD(487, 770) = ( 487 x 770 ) / 374990
GCD(487, 770) = 374990 / 374990
GCD(487, 770) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 779) = 779
GCD(1, 779) = ( 1 x 779 ) / 779
GCD(1, 779) = 779 / 779
GCD(1, 779) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 902) = 902
GCD(1, 902) = ( 1 x 902 ) / 902
GCD(1, 902) = 902 / 902
GCD(1, 902) = 1
GCD of 487, 770, 779, 902 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 487, 770, 779, 902?
GCD of 487, 770, 779, 902 is 1
2. Where do I get the detailed procedure to find GCD of 487, 770, 779, 902?
You can find a detailed procedure to find GCD of 487, 770, 779, 902 on our page.
3. How to find GCD of 487, 770, 779, 902 on a calculator?
You can find the GCD of 487, 770, 779, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.