GCD of 577, 345, 405 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 577, 345, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 577, 345, 405 is 1
GCD(577, 345, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 577, 345, 405 is 1
GCD(577, 345, 405) = 1
GCDof 577,345,405 is 1
Given Input numbers are 577, 345, 405
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Greatest Common Divisior
We found the divisors of 577, 345, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 345, 405 is 1.
Therefore, GCD of numbers 577, 345, 405 is 1
Given Input Data is 577, 345, 405
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 577 is 577
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 577, 345, 405 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(577, 345) = 199065
GCD(577, 345) = ( 577 x 345 ) / 199065
GCD(577, 345) = 199065 / 199065
GCD(577, 345) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
GCD of 577, 345, 405 is 1
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FAQs on GCD of numbers 577, 345, 405
1. What is the GCD of 577, 345, 405?
GCD of 577, 345, 405 is 1
2. Where do I get the detailed procedure to find GCD of 577, 345, 405?
You can find a detailed procedure to find GCD of 577, 345, 405 on our page.
3. How to find GCD of 577, 345, 405 on a calculator?
You can find the GCD of 577, 345, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.