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 824, 574, 740, 918 i.e. 2 largest integer that divides all the numbers equally.
GCD of 824, 574, 740, 918 is 2
GCD(824, 574, 740, 918) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 574, 740, 918 is 2
GCD(824, 574, 740, 918) = 2
Given Input numbers are 824, 574, 740, 918
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
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 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 824, 574, 740, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 574, 740, 918 is 2.
Therefore, GCD of numbers 824, 574, 740, 918 is 2
Given Input Data is 824, 574, 740, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
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(824, 574) = 236488
GCD(824, 574) = ( 824 x 574 ) / 236488
GCD(824, 574) = 472976 / 236488
GCD(824, 574) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 740
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 740) = 740
GCD(2, 740) = ( 2 x 740 ) / 740
GCD(2, 740) = 1480 / 740
GCD(2, 740) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
GCD(2, 918) = 1836 / 918
GCD(2, 918) = 2
GCD of 824, 574, 740, 918 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 574, 740, 918?
GCD of 824, 574, 740, 918 is 2
2. Where do I get the detailed procedure to find GCD of 824, 574, 740, 918?
You can find a detailed procedure to find GCD of 824, 574, 740, 918 on our page.
3. How to find GCD of 824, 574, 740, 918 on a calculator?
You can find the GCD of 824, 574, 740, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.