GCD of 464, 173, 58 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 464, 173, 58 i.e. 1 largest integer that divides all the numbers equally.
GCD of 464, 173, 58 is 1
GCD(464, 173, 58) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 173, 58 is 1
GCD(464, 173, 58) = 1
GCDof 464,173,58 is 1
Given Input numbers are 464, 173, 58
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Greatest Common Divisior
We found the divisors of 464, 173, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 173, 58 is 1.
Therefore, GCD of numbers 464, 173, 58 is 1
Given Input Data is 464, 173, 58
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 173 is 173
Prime Factorization of 58 is 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 464, 173, 58 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(464, 173) = 80272
GCD(464, 173) = ( 464 x 173 ) / 80272
GCD(464, 173) = 80272 / 80272
GCD(464, 173) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
GCD of 464, 173, 58 is 1
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FAQs on GCD of numbers 464, 173, 58
1. What is the GCD of 464, 173, 58?
GCD of 464, 173, 58 is 1
2. Where do I get the detailed procedure to find GCD of 464, 173, 58?
You can find a detailed procedure to find GCD of 464, 173, 58 on our page.
3. How to find GCD of 464, 173, 58 on a calculator?
You can find the GCD of 464, 173, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.