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 40, 588, 874, 438 i.e. 2 largest integer that divides all the numbers equally.
GCD of 40, 588, 874, 438 is 2
GCD(40, 588, 874, 438) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 588, 874, 438 is 2
GCD(40, 588, 874, 438) = 2
Given Input numbers are 40, 588, 874, 438
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Greatest Common Divisior
We found the divisors of 40, 588, 874, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 588, 874, 438 is 2.
Therefore, GCD of numbers 40, 588, 874, 438 is 2
Given Input Data is 40, 588, 874, 438
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 438 is 2 x 3 x 73
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(40, 588) = 5880
GCD(40, 588) = ( 40 x 588 ) / 5880
GCD(40, 588) = 23520 / 5880
GCD(40, 588) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 874) = 1748
GCD(4, 874) = ( 4 x 874 ) / 1748
GCD(4, 874) = 3496 / 1748
GCD(4, 874) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
GCD(2, 438) = 876 / 438
GCD(2, 438) = 2
GCD of 40, 588, 874, 438 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 588, 874, 438?
GCD of 40, 588, 874, 438 is 2
2. Where do I get the detailed procedure to find GCD of 40, 588, 874, 438?
You can find a detailed procedure to find GCD of 40, 588, 874, 438 on our page.
3. How to find GCD of 40, 588, 874, 438 on a calculator?
You can find the GCD of 40, 588, 874, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.