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, 550, 266 i.e. 2 largest integer that divides all the numbers equally.
GCD of 438, 550, 266 is 2
GCD(438, 550, 266) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 550, 266 is 2
GCD(438, 550, 266) = 2
Given Input numbers are 438, 550, 266
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 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Greatest Common Divisior
We found the divisors of 438, 550, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 550, 266 is 2.
Therefore, GCD of numbers 438, 550, 266 is 2
Given Input Data is 438, 550, 266
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 550 is 2 x 5 x 5 x 11
Prime Factorization of 266 is 2 x 7 x 19
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, 550) = 120450
GCD(438, 550) = ( 438 x 550 ) / 120450
GCD(438, 550) = 240900 / 120450
GCD(438, 550) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 266
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 266) = 266
GCD(2, 266) = ( 2 x 266 ) / 266
GCD(2, 266) = 532 / 266
GCD(2, 266) = 2
GCD of 438, 550, 266 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 550, 266?
GCD of 438, 550, 266 is 2
2. Where do I get the detailed procedure to find GCD of 438, 550, 266?
You can find a detailed procedure to find GCD of 438, 550, 266 on our page.
3. How to find GCD of 438, 550, 266 on a calculator?
You can find the GCD of 438, 550, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.