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 221, 116, 926, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 221, 116, 926, 777 is 1
GCD(221, 116, 926, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 221, 116, 926, 777 is 1
GCD(221, 116, 926, 777) = 1
Given Input numbers are 221, 116, 926, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
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 221, 116, 926, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 116, 926, 777 is 1.
Therefore, GCD of numbers 221, 116, 926, 777 is 1
Given Input Data is 221, 116, 926, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 221 is 13 x 17
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 926 is 2 x 463
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(221, 116) = 25636
GCD(221, 116) = ( 221 x 116 ) / 25636
GCD(221, 116) = 25636 / 25636
GCD(221, 116) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 926) = 926
GCD(1, 926) = ( 1 x 926 ) / 926
GCD(1, 926) = 926 / 926
GCD(1, 926) = 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 221, 116, 926, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 221, 116, 926, 777?
GCD of 221, 116, 926, 777 is 1
2. Where do I get the detailed procedure to find GCD of 221, 116, 926, 777?
You can find a detailed procedure to find GCD of 221, 116, 926, 777 on our page.
3. How to find GCD of 221, 116, 926, 777 on a calculator?
You can find the GCD of 221, 116, 926, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.