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 426, 248, 678 i.e. 2 largest integer that divides all the numbers equally.
GCD of 426, 248, 678 is 2
GCD(426, 248, 678) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 248, 678 is 2
GCD(426, 248, 678) = 2
Given Input numbers are 426, 248, 678
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Greatest Common Divisior
We found the divisors of 426, 248, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 248, 678 is 2.
Therefore, GCD of numbers 426, 248, 678 is 2
Given Input Data is 426, 248, 678
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 678 is 2 x 3 x 113
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(426, 248) = 52824
GCD(426, 248) = ( 426 x 248 ) / 52824
GCD(426, 248) = 105648 / 52824
GCD(426, 248) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 678
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 678) = 678
GCD(2, 678) = ( 2 x 678 ) / 678
GCD(2, 678) = 1356 / 678
GCD(2, 678) = 2
GCD of 426, 248, 678 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 248, 678?
GCD of 426, 248, 678 is 2
2. Where do I get the detailed procedure to find GCD of 426, 248, 678?
You can find a detailed procedure to find GCD of 426, 248, 678 on our page.
3. How to find GCD of 426, 248, 678 on a calculator?
You can find the GCD of 426, 248, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.