GCD of 93, 72, 54 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 93, 72, 54 i.e. 3 largest integer that divides all the numbers equally.
GCD of 93, 72, 54 is 3
GCD(93, 72, 54) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 93, 72, 54 is 3
GCD(93, 72, 54) = 3
GCDof 93,72,54 is 3
Given Input numbers are 93, 72, 54
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
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 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Greatest Common Divisior
We found the divisors of 93, 72, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 72, 54 is 3.
Therefore, GCD of numbers 93, 72, 54 is 3
Given Input Data is 93, 72, 54
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 93 is 3 x 31
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 54 is 2 x 3 x 3 x 3
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 93, 72, 54 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(93, 72) = 2232
GCD(93, 72) = ( 93 x 72 ) / 2232
GCD(93, 72) = 6696 / 2232
GCD(93, 72) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 54) = 54
GCD(3, 54) = ( 3 x 54 ) / 54
GCD(3, 54) = 162 / 54
GCD(3, 54) = 3
GCD of 93, 72, 54 is 3
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FAQs on GCD of numbers 93, 72, 54
1. What is the GCD of 93, 72, 54?
GCD of 93, 72, 54 is 3
2. Where do I get the detailed procedure to find GCD of 93, 72, 54?
You can find a detailed procedure to find GCD of 93, 72, 54 on our page.
3. How to find GCD of 93, 72, 54 on a calculator?
You can find the GCD of 93, 72, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.