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 122, 651, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 122, 651, 775 is 1
GCD(122, 651, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 122, 651, 775 is 1
GCD(122, 651, 775) = 1
Given Input numbers are 122, 651, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 122, 651, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 651, 775 is 1.
Therefore, GCD of numbers 122, 651, 775 is 1
Given Input Data is 122, 651, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 122 is 2 x 61
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 775 is 5 x 5 x 31
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(122, 651) = 79422
GCD(122, 651) = ( 122 x 651 ) / 79422
GCD(122, 651) = 79422 / 79422
GCD(122, 651) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
GCD of 122, 651, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 122, 651, 775?
GCD of 122, 651, 775 is 1
2. Where do I get the detailed procedure to find GCD of 122, 651, 775?
You can find a detailed procedure to find GCD of 122, 651, 775 on our page.
3. How to find GCD of 122, 651, 775 on a calculator?
You can find the GCD of 122, 651, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.