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 77, 489, 790, 307 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 489, 790, 307 is 1
GCD(77, 489, 790, 307) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 489, 790, 307 is 1
GCD(77, 489, 790, 307) = 1
Given Input numbers are 77, 489, 790, 307
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Greatest Common Divisior
We found the divisors of 77, 489, 790, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 489, 790, 307 is 1.
Therefore, GCD of numbers 77, 489, 790, 307 is 1
Given Input Data is 77, 489, 790, 307
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 489 is 3 x 163
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 307 is 307
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(77, 489) = 37653
GCD(77, 489) = ( 77 x 489 ) / 37653
GCD(77, 489) = 37653 / 37653
GCD(77, 489) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 790
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 790) = 790
GCD(1, 790) = ( 1 x 790 ) / 790
GCD(1, 790) = 790 / 790
GCD(1, 790) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
GCD(1, 307) = 307 / 307
GCD(1, 307) = 1
GCD of 77, 489, 790, 307 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 489, 790, 307?
GCD of 77, 489, 790, 307 is 1
2. Where do I get the detailed procedure to find GCD of 77, 489, 790, 307?
You can find a detailed procedure to find GCD of 77, 489, 790, 307 on our page.
3. How to find GCD of 77, 489, 790, 307 on a calculator?
You can find the GCD of 77, 489, 790, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.