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 752, 944, 44, 996 i.e. 4 largest integer that divides all the numbers equally.
GCD of 752, 944, 44, 996 is 4
GCD(752, 944, 44, 996) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 944, 44, 996 is 4
GCD(752, 944, 44, 996) = 4
Given Input numbers are 752, 944, 44, 996
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Greatest Common Divisior
We found the divisors of 752, 944, 44, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 944, 44, 996 is 4.
Therefore, GCD of numbers 752, 944, 44, 996 is 4
Given Input Data is 752, 944, 44, 996
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 996 is 2 x 2 x 3 x 83
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(752, 944) = 44368
GCD(752, 944) = ( 752 x 944 ) / 44368
GCD(752, 944) = 709888 / 44368
GCD(752, 944) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 44) = 176
GCD(16, 44) = ( 16 x 44 ) / 176
GCD(16, 44) = 704 / 176
GCD(16, 44) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 996) = 996
GCD(4, 996) = ( 4 x 996 ) / 996
GCD(4, 996) = 3984 / 996
GCD(4, 996) = 4
GCD of 752, 944, 44, 996 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 944, 44, 996?
GCD of 752, 944, 44, 996 is 4
2. Where do I get the detailed procedure to find GCD of 752, 944, 44, 996?
You can find a detailed procedure to find GCD of 752, 944, 44, 996 on our page.
3. How to find GCD of 752, 944, 44, 996 on a calculator?
You can find the GCD of 752, 944, 44, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.