GCD of 68, 74, 66 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 68, 74, 66 i.e. 2 largest integer that divides all the numbers equally.
GCD of 68, 74, 66 is 2
GCD(68, 74, 66) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 74, 66 is 2
GCD(68, 74, 66) = 2
GCDof 68,74,66 is 2
Given Input numbers are 68, 74, 66
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Greatest Common Divisior
We found the divisors of 68, 74, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 74, 66 is 2.
Therefore, GCD of numbers 68, 74, 66 is 2
Given Input Data is 68, 74, 66
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 74 is 2 x 37
Prime Factorization of 66 is 2 x 3 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 68, 74, 66 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(68, 74) = 2516
GCD(68, 74) = ( 68 x 74 ) / 2516
GCD(68, 74) = 5032 / 2516
GCD(68, 74) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 66) = 66
GCD(2, 66) = ( 2 x 66 ) / 66
GCD(2, 66) = 132 / 66
GCD(2, 66) = 2
GCD of 68, 74, 66 is 2
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FAQs on GCD of numbers 68, 74, 66
1. What is the GCD of 68, 74, 66?
GCD of 68, 74, 66 is 2
2. Where do I get the detailed procedure to find GCD of 68, 74, 66?
You can find a detailed procedure to find GCD of 68, 74, 66 on our page.
3. How to find GCD of 68, 74, 66 on a calculator?
You can find the GCD of 68, 74, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.