GCD of 213, 174, 55 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 213, 174, 55 i.e. 1 largest integer that divides all the numbers equally.
GCD of 213, 174, 55 is 1
GCD(213, 174, 55) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 213, 174, 55 is 1
GCD(213, 174, 55) = 1
GCDof 213,174,55 is 1
Given Input numbers are 213, 174, 55
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Greatest Common Divisior
We found the divisors of 213, 174, 55 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 174, 55 is 1.
Therefore, GCD of numbers 213, 174, 55 is 1
Given Input Data is 213, 174, 55
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 213 is 3 x 71
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 55 is 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 213, 174, 55 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(213, 174) = 12354
GCD(213, 174) = ( 213 x 174 ) / 12354
GCD(213, 174) = 37062 / 12354
GCD(213, 174) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 55) = 165
GCD(3, 55) = ( 3 x 55 ) / 165
GCD(3, 55) = 165 / 165
GCD(3, 55) = 1
GCD of 213, 174, 55 is 1
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FAQs on GCD of numbers 213, 174, 55
1. What is the GCD of 213, 174, 55?
GCD of 213, 174, 55 is 1
2. Where do I get the detailed procedure to find GCD of 213, 174, 55?
You can find a detailed procedure to find GCD of 213, 174, 55 on our page.
3. How to find GCD of 213, 174, 55 on a calculator?
You can find the GCD of 213, 174, 55 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.