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 444, 760, 574, 752 i.e. 2 largest integer that divides all the numbers equally.
GCD of 444, 760, 574, 752 is 2
GCD(444, 760, 574, 752) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 444, 760, 574, 752 is 2
GCD(444, 760, 574, 752) = 2
Given Input numbers are 444, 760, 574, 752
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
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
Greatest Common Divisior
We found the divisors of 444, 760, 574, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 760, 574, 752 is 2.
Therefore, GCD of numbers 444, 760, 574, 752 is 2
Given Input Data is 444, 760, 574, 752
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(444, 760) = 84360
GCD(444, 760) = ( 444 x 760 ) / 84360
GCD(444, 760) = 337440 / 84360
GCD(444, 760) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 574) = 1148
GCD(4, 574) = ( 4 x 574 ) / 1148
GCD(4, 574) = 2296 / 1148
GCD(4, 574) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 752) = 752
GCD(2, 752) = ( 2 x 752 ) / 752
GCD(2, 752) = 1504 / 752
GCD(2, 752) = 2
GCD of 444, 760, 574, 752 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 444, 760, 574, 752?
GCD of 444, 760, 574, 752 is 2
2. Where do I get the detailed procedure to find GCD of 444, 760, 574, 752?
You can find a detailed procedure to find GCD of 444, 760, 574, 752 on our page.
3. How to find GCD of 444, 760, 574, 752 on a calculator?
You can find the GCD of 444, 760, 574, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.