GCD of 270, 190, 85 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 270, 190, 85 i.e. 5 largest integer that divides all the numbers equally.
GCD of 270, 190, 85 is 5
GCD(270, 190, 85) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 190, 85 is 5
GCD(270, 190, 85) = 5
GCDof 270,190,85 is 5
Given Input numbers are 270, 190, 85
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Greatest Common Divisior
We found the divisors of 270, 190, 85 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 190, 85 is 5.
Therefore, GCD of numbers 270, 190, 85 is 5
Given Input Data is 270, 190, 85
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 85 is 5 x 17
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 270, 190, 85 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(270, 190) = 5130
GCD(270, 190) = ( 270 x 190 ) / 5130
GCD(270, 190) = 51300 / 5130
GCD(270, 190) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 85) = 170
GCD(10, 85) = ( 10 x 85 ) / 170
GCD(10, 85) = 850 / 170
GCD(10, 85) = 5
GCD of 270, 190, 85 is 5
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FAQs on GCD of numbers 270, 190, 85
1. What is the GCD of 270, 190, 85?
GCD of 270, 190, 85 is 5
2. Where do I get the detailed procedure to find GCD of 270, 190, 85?
You can find a detailed procedure to find GCD of 270, 190, 85 on our page.
3. How to find GCD of 270, 190, 85 on a calculator?
You can find the GCD of 270, 190, 85 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.