GCD of 41, 72, 80 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 41, 72, 80 i.e. 1 largest integer that divides all the numbers equally.
GCD of 41, 72, 80 is 1
GCD(41, 72, 80) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 41, 72, 80 is 1
GCD(41, 72, 80) = 1
GCDof 41,72,80 is 1
Given Input numbers are 41, 72, 80
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
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 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Greatest Common Divisior
We found the divisors of 41, 72, 80 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 72, 80 is 1.
Therefore, GCD of numbers 41, 72, 80 is 1
Given Input Data is 41, 72, 80
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 41 is 41
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 41, 72, 80 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(41, 72) = 2952
GCD(41, 72) = ( 41 x 72 ) / 2952
GCD(41, 72) = 2952 / 2952
GCD(41, 72) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
GCD of 41, 72, 80 is 1
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FAQs on GCD of numbers 41, 72, 80
1. What is the GCD of 41, 72, 80?
GCD of 41, 72, 80 is 1
2. Where do I get the detailed procedure to find GCD of 41, 72, 80?
You can find a detailed procedure to find GCD of 41, 72, 80 on our page.
3. How to find GCD of 41, 72, 80 on a calculator?
You can find the GCD of 41, 72, 80 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.