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 438, 278, 850, 678 i.e. 2 largest integer that divides all the numbers equally.
GCD of 438, 278, 850, 678 is 2
GCD(438, 278, 850, 678) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 278, 850, 678 is 2
GCD(438, 278, 850, 678) = 2
Given Input numbers are 438, 278, 850, 678
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
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 438, 278, 850, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 278, 850, 678 is 2.
Therefore, GCD of numbers 438, 278, 850, 678 is 2
Given Input Data is 438, 278, 850, 678
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 278 is 2 x 139
Prime Factorization of 850 is 2 x 5 x 5 x 17
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(438, 278) = 60882
GCD(438, 278) = ( 438 x 278 ) / 60882
GCD(438, 278) = 121764 / 60882
GCD(438, 278) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 850) = 850
GCD(2, 850) = ( 2 x 850 ) / 850
GCD(2, 850) = 1700 / 850
GCD(2, 850) = 2
Step3:
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 438, 278, 850, 678 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 278, 850, 678?
GCD of 438, 278, 850, 678 is 2
2. Where do I get the detailed procedure to find GCD of 438, 278, 850, 678?
You can find a detailed procedure to find GCD of 438, 278, 850, 678 on our page.
3. How to find GCD of 438, 278, 850, 678 on a calculator?
You can find the GCD of 438, 278, 850, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.