GCD of 882, 363, 900 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 882, 363, 900 quickly. Get the easiest ways to solve the greatest common divisor of 882, 363, 900 i.e 3 in different methods as follows.
Given Input numbers are 882, 363, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (882, 363, 900) = 3.
Given numbers are 882, 363, 900
The list of prime factors of all numbers are
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 363 are 3 x 11 x 11
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 882, 363, 900 is 3.
Steps to Calculate GCD of 882, 363, 900 using LCM Formula
Given numbers are 882, 363, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 363) = 106722
GCD(882, 363) = ( 882 x 363 ) / 106722
= 882 / 363
= 882
Step2:
LCM(3, 900) = 900
GCD(3, 900) = ( 3 x 900 ) / 900
= 3 / 900
= 3
So, Greatest Common Divisor of 882, 363, 900 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 882, 363, 900
Given numbers are 882, 363, 900
The greatest common divisor of numbers 882, 363, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 363, 900 is 3.
FAQs on GCD of 882, 363, 900 Calculator
1. What is the GCD of 882, 363, 900?
GCD of given numbers 882, 363, 900 is 3
2. How to calculate the greatest common divisor of 882, 363, 900?
We can find the highest common divisor of 882, 363, 900 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 882, 363, 900 i.e 3.
3. How can I use the GCD of 882, 363, 900Calculator?
Out the numbers 882, 363, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.