GCD of 85, 90, 45 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 85, 90, 45 i.e. 5 largest integer that divides all the numbers equally.
GCD of 85, 90, 45 is 5
GCD(85, 90, 45) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 90, 45 is 5
GCD(85, 90, 45) = 5
GCDof 85,90,45 is 5
Given Input numbers are 85, 90, 45
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
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
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Greatest Common Divisior
We found the divisors of 85, 90, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 90, 45 is 5.
Therefore, GCD of numbers 85, 90, 45 is 5
Given Input Data is 85, 90, 45
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 45 is 3 x 3 x 5
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 85, 90, 45 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(85, 90) = 1530
GCD(85, 90) = ( 85 x 90 ) / 1530
GCD(85, 90) = 7650 / 1530
GCD(85, 90) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 45) = 45
GCD(5, 45) = ( 5 x 45 ) / 45
GCD(5, 45) = 225 / 45
GCD(5, 45) = 5
GCD of 85, 90, 45 is 5
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FAQs on GCD of numbers 85, 90, 45
1. What is the GCD of 85, 90, 45?
GCD of 85, 90, 45 is 5
2. Where do I get the detailed procedure to find GCD of 85, 90, 45?
You can find a detailed procedure to find GCD of 85, 90, 45 on our page.
3. How to find GCD of 85, 90, 45 on a calculator?
You can find the GCD of 85, 90, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.