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, 257, 777, 657 i.e. 1 largest integer that divides all the numbers equally.
GCD of 121, 257, 777, 657 is 1
GCD(121, 257, 777, 657) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 121, 257, 777, 657 is 1
GCD(121, 257, 777, 657) = 1
Given Input numbers are 121, 257, 777, 657
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 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Greatest Common Divisior
We found the divisors of 121, 257, 777, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 257, 777, 657 is 1.
Therefore, GCD of numbers 121, 257, 777, 657 is 1
Given Input Data is 121, 257, 777, 657
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 121 is 11 x 11
Prime Factorization of 257 is 257
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 657 is 3 x 3 x 73
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, 257) = 31097
GCD(121, 257) = ( 121 x 257 ) / 31097
GCD(121, 257) = 31097 / 31097
GCD(121, 257) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 657) = 657
GCD(1, 657) = ( 1 x 657 ) / 657
GCD(1, 657) = 657 / 657
GCD(1, 657) = 1
GCD of 121, 257, 777, 657 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 121, 257, 777, 657?
GCD of 121, 257, 777, 657 is 1
2. Where do I get the detailed procedure to find GCD of 121, 257, 777, 657?
You can find a detailed procedure to find GCD of 121, 257, 777, 657 on our page.
3. How to find GCD of 121, 257, 777, 657 on a calculator?
You can find the GCD of 121, 257, 777, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.