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 750, 774, 44, 362 i.e. 2 largest integer that divides all the numbers equally.
GCD of 750, 774, 44, 362 is 2
GCD(750, 774, 44, 362) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 774, 44, 362 is 2
GCD(750, 774, 44, 362) = 2
Given Input numbers are 750, 774, 44, 362
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Greatest Common Divisior
We found the divisors of 750, 774, 44, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 774, 44, 362 is 2.
Therefore, GCD of numbers 750, 774, 44, 362 is 2
Given Input Data is 750, 774, 44, 362
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 362 is 2 x 181
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(750, 774) = 96750
GCD(750, 774) = ( 750 x 774 ) / 96750
GCD(750, 774) = 580500 / 96750
GCD(750, 774) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 44) = 132
GCD(6, 44) = ( 6 x 44 ) / 132
GCD(6, 44) = 264 / 132
GCD(6, 44) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 362
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 362) = 362
GCD(2, 362) = ( 2 x 362 ) / 362
GCD(2, 362) = 724 / 362
GCD(2, 362) = 2
GCD of 750, 774, 44, 362 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 774, 44, 362?
GCD of 750, 774, 44, 362 is 2
2. Where do I get the detailed procedure to find GCD of 750, 774, 44, 362?
You can find a detailed procedure to find GCD of 750, 774, 44, 362 on our page.
3. How to find GCD of 750, 774, 44, 362 on a calculator?
You can find the GCD of 750, 774, 44, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.