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 121, 644, 55, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 121, 644, 55, 728 is 1
GCD(121, 644, 55, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 121, 644, 55, 728 is 1
GCD(121, 644, 55, 728) = 1
Given Input numbers are 121, 644, 55, 728
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Greatest Common Divisior
We found the divisors of 121, 644, 55, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 644, 55, 728 is 1.
Therefore, GCD of numbers 121, 644, 55, 728 is 1
Given Input Data is 121, 644, 55, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 121 is 11 x 11
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 55 is 5 x 11
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
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(121, 644) = 77924
GCD(121, 644) = ( 121 x 644 ) / 77924
GCD(121, 644) = 77924 / 77924
GCD(121, 644) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 55) = 55
GCD(1, 55) = ( 1 x 55 ) / 55
GCD(1, 55) = 55 / 55
GCD(1, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
GCD of 121, 644, 55, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 121, 644, 55, 728?
GCD of 121, 644, 55, 728 is 1
2. Where do I get the detailed procedure to find GCD of 121, 644, 55, 728?
You can find a detailed procedure to find GCD of 121, 644, 55, 728 on our page.
3. How to find GCD of 121, 644, 55, 728 on a calculator?
You can find the GCD of 121, 644, 55, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.