GCD of 94, 72, 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 94, 72, 42 i.e. 2 largest integer that divides all the numbers equally.
GCD of 94, 72, 42 is 2
GCD(94, 72, 42) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 94, 72, 42 is 2
GCD(94, 72, 42) = 2
GCDof 94,72,42 is 2
Given Input numbers are 94, 72, 42
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
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 94, 72, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 94, 72, 42 is 2.
Therefore, GCD of numbers 94, 72, 42 is 2
Given Input Data is 94, 72, 42
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 94 is 2 x 47
Prime Factorization of 72 is 2 x 2 x 2 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 94, 72, 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(94, 72) = 3384
GCD(94, 72) = ( 94 x 72 ) / 3384
GCD(94, 72) = 6768 / 3384
GCD(94, 72) = 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 94, 72, 42 is 2
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FAQs on GCD of numbers 94, 72, 42
1. What is the GCD of 94, 72, 42?
GCD of 94, 72, 42 is 2
2. Where do I get the detailed procedure to find GCD of 94, 72, 42?
You can find a detailed procedure to find GCD of 94, 72, 42 on our page.
3. How to find GCD of 94, 72, 42 on a calculator?
You can find the GCD of 94, 72, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.