GCD of 252, 405, 873 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 252, 405, 873 quickly. Get the easiest ways to solve the greatest common divisor of 252, 405, 873 i.e 9 in different methods as follows.
Given Input numbers are 252, 405, 873
In the factoring method, we have to find the divisors of all numbers
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
GCD of numbers is the greatest common divisor
So, the GCD (252, 405, 873) = 9.
Given numbers are 252, 405, 873
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 873 are 3 x 3 x 97
The highest common occurrence is 32
Therefore, GCD of 252, 405, 873 is 9.
Steps to Calculate GCD of 252, 405, 873 using LCM Formula
Given numbers are 252, 405, 873
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 405) = 11340
GCD(252, 405) = ( 252 x 405 ) / 11340
= 252 / 405
= 252
Step2:
LCM(9, 873) = 873
GCD(9, 873) = ( 9 x 873 ) / 873
= 9 / 873
= 9
So, Greatest Common Divisor of 252, 405, 873 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 252, 405, 873
Given numbers are 252, 405, 873
The greatest common divisor of numbers 252, 405, 873 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 405, 873 is 9.
FAQs on GCD of 252, 405, 873 Calculator
1. What is the GCD of 252, 405, 873?
GCD of given numbers 252, 405, 873 is 9
2. How to calculate the greatest common divisor of 252, 405, 873?
We can find the highest common divisor of 252, 405, 873 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 252, 405, 873 i.e 9.
3. How can I use the GCD of 252, 405, 873Calculator?
Out the numbers 252, 405, 873 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.