GCD of 223, 170, 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 223, 170, 85 i.e. 1 largest integer that divides all the numbers equally.
GCD of 223, 170, 85 is 1
GCD(223, 170, 85) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 223, 170, 85 is 1
GCD(223, 170, 85) = 1
GCDof 223,170,85 is 1
Given Input numbers are 223, 170, 85
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
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 223, 170, 85 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 223, 170, 85 is 1.
Therefore, GCD of numbers 223, 170, 85 is 1
Given Input Data is 223, 170, 85
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 223 is 223
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 85 is 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 223, 170, 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(223, 170) = 37910
GCD(223, 170) = ( 223 x 170 ) / 37910
GCD(223, 170) = 37910 / 37910
GCD(223, 170) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
GCD of 223, 170, 85 is 1
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FAQs on GCD of numbers 223, 170, 85
1. What is the GCD of 223, 170, 85?
GCD of 223, 170, 85 is 1
2. Where do I get the detailed procedure to find GCD of 223, 170, 85?
You can find a detailed procedure to find GCD of 223, 170, 85 on our page.
3. How to find GCD of 223, 170, 85 on a calculator?
You can find the GCD of 223, 170, 85 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.