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 298, 246, 40 i.e. 2 largest integer that divides all the numbers equally.
GCD of 298, 246, 40 is 2
GCD(298, 246, 40) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 298, 246, 40 is 2
GCD(298, 246, 40) = 2
Given Input numbers are 298, 246, 40
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Greatest Common Divisior
We found the divisors of 298, 246, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 246, 40 is 2.
Therefore, GCD of numbers 298, 246, 40 is 2
Given Input Data is 298, 246, 40
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 298 is 2 x 149
Prime Factorization of 246 is 2 x 3 x 41
Prime Factorization of 40 is 2 x 2 x 2 x 5
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(298, 246) = 36654
GCD(298, 246) = ( 298 x 246 ) / 36654
GCD(298, 246) = 73308 / 36654
GCD(298, 246) = 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
GCD of 298, 246, 40 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 298, 246, 40?
GCD of 298, 246, 40 is 2
2. Where do I get the detailed procedure to find GCD of 298, 246, 40?
You can find a detailed procedure to find GCD of 298, 246, 40 on our page.
3. How to find GCD of 298, 246, 40 on a calculator?
You can find the GCD of 298, 246, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.