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 984, 747, 366, 122 i.e. 1 largest integer that divides all the numbers equally.
GCD of 984, 747, 366, 122 is 1
GCD(984, 747, 366, 122) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 984, 747, 366, 122 is 1
GCD(984, 747, 366, 122) = 1
Given Input numbers are 984, 747, 366, 122
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Greatest Common Divisior
We found the divisors of 984, 747, 366, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 747, 366, 122 is 1.
Therefore, GCD of numbers 984, 747, 366, 122 is 1
Given Input Data is 984, 747, 366, 122
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 122 is 2 x 61
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(984, 747) = 245016
GCD(984, 747) = ( 984 x 747 ) / 245016
GCD(984, 747) = 735048 / 245016
GCD(984, 747) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 366) = 366
GCD(3, 366) = ( 3 x 366 ) / 366
GCD(3, 366) = 1098 / 366
GCD(3, 366) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 122) = 366
GCD(3, 122) = ( 3 x 122 ) / 366
GCD(3, 122) = 366 / 366
GCD(3, 122) = 1
GCD of 984, 747, 366, 122 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 984, 747, 366, 122?
GCD of 984, 747, 366, 122 is 1
2. Where do I get the detailed procedure to find GCD of 984, 747, 366, 122?
You can find a detailed procedure to find GCD of 984, 747, 366, 122 on our page.
3. How to find GCD of 984, 747, 366, 122 on a calculator?
You can find the GCD of 984, 747, 366, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.