GCD of 73, 60, 96 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 73, 60, 96 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 60, 96 is 1
GCD(73, 60, 96) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 60, 96 is 1
GCD(73, 60, 96) = 1
GCDof 73,60,96 is 1
Given Input numbers are 73, 60, 96
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Greatest Common Divisior
We found the divisors of 73, 60, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 60, 96 is 1.
Therefore, GCD of numbers 73, 60, 96 is 1
Given Input Data is 73, 60, 96
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 73, 60, 96 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(73, 60) = 4380
GCD(73, 60) = ( 73 x 60 ) / 4380
GCD(73, 60) = 4380 / 4380
GCD(73, 60) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
GCD of 73, 60, 96 is 1
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FAQs on GCD of numbers 73, 60, 96
1. What is the GCD of 73, 60, 96?
GCD of 73, 60, 96 is 1
2. Where do I get the detailed procedure to find GCD of 73, 60, 96?
You can find a detailed procedure to find GCD of 73, 60, 96 on our page.
3. How to find GCD of 73, 60, 96 on a calculator?
You can find the GCD of 73, 60, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.