GCD of 43, 80, 84 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 43, 80, 84 i.e. 1 largest integer that divides all the numbers equally.
GCD of 43, 80, 84 is 1
GCD(43, 80, 84) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 43, 80, 84 is 1
GCD(43, 80, 84) = 1
GCDof 43,80,84 is 1
Given Input numbers are 43, 80, 84
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
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
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Greatest Common Divisior
We found the divisors of 43, 80, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 80, 84 is 1.
Therefore, GCD of numbers 43, 80, 84 is 1
Given Input Data is 43, 80, 84
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 43 is 43
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 84 is 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 43, 80, 84 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(43, 80) = 3440
GCD(43, 80) = ( 43 x 80 ) / 3440
GCD(43, 80) = 3440 / 3440
GCD(43, 80) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
GCD of 43, 80, 84 is 1
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FAQs on GCD of numbers 43, 80, 84
1. What is the GCD of 43, 80, 84?
GCD of 43, 80, 84 is 1
2. Where do I get the detailed procedure to find GCD of 43, 80, 84?
You can find a detailed procedure to find GCD of 43, 80, 84 on our page.
3. How to find GCD of 43, 80, 84 on a calculator?
You can find the GCD of 43, 80, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.