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 244, 402, 40, 878 i.e. 2 largest integer that divides all the numbers equally.
GCD of 244, 402, 40, 878 is 2
GCD(244, 402, 40, 878) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 244, 402, 40, 878 is 2
GCD(244, 402, 40, 878) = 2
Given Input numbers are 244, 402, 40, 878
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 244
List of positive integer divisors of 244 that divides 244 without a remainder.
1, 2, 4, 61, 122, 244
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
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 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Greatest Common Divisior
We found the divisors of 244, 402, 40, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 244, 402, 40, 878 is 2.
Therefore, GCD of numbers 244, 402, 40, 878 is 2
Given Input Data is 244, 402, 40, 878
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 244 is 2 x 2 x 61
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 878 is 2 x 439
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(244, 402) = 49044
GCD(244, 402) = ( 244 x 402 ) / 49044
GCD(244, 402) = 98088 / 49044
GCD(244, 402) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 40) = 40
GCD(2, 40) = ( 2 x 40 ) / 40
GCD(2, 40) = 80 / 40
GCD(2, 40) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 878) = 878
GCD(2, 878) = ( 2 x 878 ) / 878
GCD(2, 878) = 1756 / 878
GCD(2, 878) = 2
GCD of 244, 402, 40, 878 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 244, 402, 40, 878?
GCD of 244, 402, 40, 878 is 2
2. Where do I get the detailed procedure to find GCD of 244, 402, 40, 878?
You can find a detailed procedure to find GCD of 244, 402, 40, 878 on our page.
3. How to find GCD of 244, 402, 40, 878 on a calculator?
You can find the GCD of 244, 402, 40, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.