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 124, 550, 42 i.e. 2 largest integer that divides all the numbers equally.
GCD of 124, 550, 42 is 2
GCD(124, 550, 42) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 124, 550, 42 is 2
GCD(124, 550, 42) = 2
Given Input numbers are 124, 550, 42
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
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 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Greatest Common Divisior
We found the divisors of 124, 550, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 550, 42 is 2.
Therefore, GCD of numbers 124, 550, 42 is 2
Given Input Data is 124, 550, 42
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 42 is 2 x 3 x 7
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(124, 550) = 34100
GCD(124, 550) = ( 124 x 550 ) / 34100
GCD(124, 550) = 68200 / 34100
GCD(124, 550) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
GCD(2, 42) = 84 / 42
GCD(2, 42) = 2
GCD of 124, 550, 42 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 124, 550, 42?
GCD of 124, 550, 42 is 2
2. Where do I get the detailed procedure to find GCD of 124, 550, 42?
You can find a detailed procedure to find GCD of 124, 550, 42 on our page.
3. How to find GCD of 124, 550, 42 on a calculator?
You can find the GCD of 124, 550, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.