GCD of 34, 50, 40 Calculator
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 34, 50, 40 i.e. 2 largest integer that divides all the numbers equally.
GCD of 34, 50, 40 is 2
GCD(34, 50, 40) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 34, 50, 40 is 2
GCD(34, 50, 40) = 2
GCDof 34,50,40 is 2
Given Input numbers are 34, 50, 40
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
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 34, 50, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 50, 40 is 2.
Therefore, GCD of numbers 34, 50, 40 is 2
Given Input Data is 34, 50, 40
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 34 is 2 x 17
Prime Factorization of 50 is 2 x 5 x 5
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
Finding GCD of 34, 50, 40 using LCM Formula
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(34, 50) = 850
GCD(34, 50) = ( 34 x 50 ) / 850
GCD(34, 50) = 1700 / 850
GCD(34, 50) = 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 34, 50, 40 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 34, 50, 40
1. What is the GCD of 34, 50, 40?
GCD of 34, 50, 40 is 2
2. Where do I get the detailed procedure to find GCD of 34, 50, 40?
You can find a detailed procedure to find GCD of 34, 50, 40 on our page.
3. How to find GCD of 34, 50, 40 on a calculator?
You can find the GCD of 34, 50, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.