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 73, 984, 338, 950 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 984, 338, 950 is 1
GCD(73, 984, 338, 950) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 984, 338, 950 is 1
GCD(73, 984, 338, 950) = 1
Given Input numbers are 73, 984, 338, 950
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
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 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Greatest Common Divisior
We found the divisors of 73, 984, 338, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 984, 338, 950 is 1.
Therefore, GCD of numbers 73, 984, 338, 950 is 1
Given Input Data is 73, 984, 338, 950
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 950 is 2 x 5 x 5 x 19
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(73, 984) = 71832
GCD(73, 984) = ( 73 x 984 ) / 71832
GCD(73, 984) = 71832 / 71832
GCD(73, 984) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
GCD(1, 338) = 338 / 338
GCD(1, 338) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 950) = 950
GCD(1, 950) = ( 1 x 950 ) / 950
GCD(1, 950) = 950 / 950
GCD(1, 950) = 1
GCD of 73, 984, 338, 950 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 984, 338, 950?
GCD of 73, 984, 338, 950 is 1
2. Where do I get the detailed procedure to find GCD of 73, 984, 338, 950?
You can find a detailed procedure to find GCD of 73, 984, 338, 950 on our page.
3. How to find GCD of 73, 984, 338, 950 on a calculator?
You can find the GCD of 73, 984, 338, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.