GCD of 86, 54, 90 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 86, 54, 90 i.e. 2 largest integer that divides all the numbers equally.
GCD of 86, 54, 90 is 2
GCD(86, 54, 90) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 86, 54, 90 is 2
GCD(86, 54, 90) = 2
GCDof 86,54,90 is 2
Given Input numbers are 86, 54, 90
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Greatest Common Divisior
We found the divisors of 86, 54, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 54, 90 is 2.
Therefore, GCD of numbers 86, 54, 90 is 2
Given Input Data is 86, 54, 90
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 86 is 2 x 43
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 90 is 2 x 3 x 3 x 5
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 86, 54, 90 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(86, 54) = 2322
GCD(86, 54) = ( 86 x 54 ) / 2322
GCD(86, 54) = 4644 / 2322
GCD(86, 54) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 90) = 90
GCD(2, 90) = ( 2 x 90 ) / 90
GCD(2, 90) = 180 / 90
GCD(2, 90) = 2
GCD of 86, 54, 90 is 2
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FAQs on GCD of numbers 86, 54, 90
1. What is the GCD of 86, 54, 90?
GCD of 86, 54, 90 is 2
2. Where do I get the detailed procedure to find GCD of 86, 54, 90?
You can find a detailed procedure to find GCD of 86, 54, 90 on our page.
3. How to find GCD of 86, 54, 90 on a calculator?
You can find the GCD of 86, 54, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.