GCD of 64, 54, 42 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 64, 54, 42 i.e. 2 largest integer that divides all the numbers equally.
GCD of 64, 54, 42 is 2
GCD(64, 54, 42) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 64, 54, 42 is 2
GCD(64, 54, 42) = 2
GCDof 64,54,42 is 2
Given Input numbers are 64, 54, 42
To find the GCD of numbers using factoring list out all the divisors of each number
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 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
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 64, 54, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 54, 42 is 2.
Therefore, GCD of numbers 64, 54, 42 is 2
Given Input Data is 64, 54, 42
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 54 is 2 x 3 x 3 x 3
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
Finding GCD of 64, 54, 42 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(64, 54) = 1728
GCD(64, 54) = ( 64 x 54 ) / 1728
GCD(64, 54) = 3456 / 1728
GCD(64, 54) = 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 64, 54, 42 is 2
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FAQs on GCD of numbers 64, 54, 42
1. What is the GCD of 64, 54, 42?
GCD of 64, 54, 42 is 2
2. Where do I get the detailed procedure to find GCD of 64, 54, 42?
You can find a detailed procedure to find GCD of 64, 54, 42 on our page.
3. How to find GCD of 64, 54, 42 on a calculator?
You can find the GCD of 64, 54, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.