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 790, 461, 99, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 790, 461, 99, 777 is 1
GCD(790, 461, 99, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 790, 461, 99, 777 is 1
GCD(790, 461, 99, 777) = 1
Given Input numbers are 790, 461, 99, 777
To find the GCD of numbers using factoring list out all the divisors of each number
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 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 790, 461, 99, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 461, 99, 777 is 1.
Therefore, GCD of numbers 790, 461, 99, 777 is 1
Given Input Data is 790, 461, 99, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 461 is 461
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 777 is 3 x 7 x 37
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(790, 461) = 364190
GCD(790, 461) = ( 790 x 461 ) / 364190
GCD(790, 461) = 364190 / 364190
GCD(790, 461) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 790, 461, 99, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 790, 461, 99, 777?
GCD of 790, 461, 99, 777 is 1
2. Where do I get the detailed procedure to find GCD of 790, 461, 99, 777?
You can find a detailed procedure to find GCD of 790, 461, 99, 777 on our page.
3. How to find GCD of 790, 461, 99, 777 on a calculator?
You can find the GCD of 790, 461, 99, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.