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, 733, 76, 616 i.e. 1 largest integer that divides all the numbers equally.
GCD of 984, 733, 76, 616 is 1
GCD(984, 733, 76, 616) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 984, 733, 76, 616 is 1
GCD(984, 733, 76, 616) = 1
Given Input numbers are 984, 733, 76, 616
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 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Greatest Common Divisior
We found the divisors of 984, 733, 76, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 733, 76, 616 is 1.
Therefore, GCD of numbers 984, 733, 76, 616 is 1
Given Input Data is 984, 733, 76, 616
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 733 is 733
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
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, 733) = 721272
GCD(984, 733) = ( 984 x 733 ) / 721272
GCD(984, 733) = 721272 / 721272
GCD(984, 733) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
GCD(1, 616) = 616 / 616
GCD(1, 616) = 1
GCD of 984, 733, 76, 616 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 984, 733, 76, 616?
GCD of 984, 733, 76, 616 is 1
2. Where do I get the detailed procedure to find GCD of 984, 733, 76, 616?
You can find a detailed procedure to find GCD of 984, 733, 76, 616 on our page.
3. How to find GCD of 984, 733, 76, 616 on a calculator?
You can find the GCD of 984, 733, 76, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.