GCD of 50, 64, 68 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 50, 64, 68 i.e. 2 largest integer that divides all the numbers equally.
GCD of 50, 64, 68 is 2
GCD(50, 64, 68) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 64, 68 is 2
GCD(50, 64, 68) = 2
GCDof 50,64,68 is 2
Given Input numbers are 50, 64, 68
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Greatest Common Divisior
We found the divisors of 50, 64, 68 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 64, 68 is 2.
Therefore, GCD of numbers 50, 64, 68 is 2
Given Input Data is 50, 64, 68
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 68 is 2 x 2 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 50, 64, 68 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(50, 64) = 1600
GCD(50, 64) = ( 50 x 64 ) / 1600
GCD(50, 64) = 3200 / 1600
GCD(50, 64) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 68) = 68
GCD(2, 68) = ( 2 x 68 ) / 68
GCD(2, 68) = 136 / 68
GCD(2, 68) = 2
GCD of 50, 64, 68 is 2
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FAQs on GCD of numbers 50, 64, 68
1. What is the GCD of 50, 64, 68?
GCD of 50, 64, 68 is 2
2. Where do I get the detailed procedure to find GCD of 50, 64, 68?
You can find a detailed procedure to find GCD of 50, 64, 68 on our page.
3. How to find GCD of 50, 64, 68 on a calculator?
You can find the GCD of 50, 64, 68 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.