GCD of 32, 78, 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 32, 78, 42 i.e. 2 largest integer that divides all the numbers equally.
GCD of 32, 78, 42 is 2
GCD(32, 78, 42) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 78, 42 is 2
GCD(32, 78, 42) = 2
GCDof 32,78,42 is 2
Given Input numbers are 32, 78, 42
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
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 32, 78, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 78, 42 is 2.
Therefore, GCD of numbers 32, 78, 42 is 2
Given Input Data is 32, 78, 42
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 78 is 2 x 3 x 13
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 32, 78, 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(32, 78) = 1248
GCD(32, 78) = ( 32 x 78 ) / 1248
GCD(32, 78) = 2496 / 1248
GCD(32, 78) = 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 32, 78, 42 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 32, 78, 42
1. What is the GCD of 32, 78, 42?
GCD of 32, 78, 42 is 2
2. Where do I get the detailed procedure to find GCD of 32, 78, 42?
You can find a detailed procedure to find GCD of 32, 78, 42 on our page.
3. How to find GCD of 32, 78, 42 on a calculator?
You can find the GCD of 32, 78, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.