GCD of 882, 318, 48 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 882, 318, 48 quickly. Get the easiest ways to solve the greatest common divisor of 882, 318, 48 i.e 6 in different methods as follows.
Given Input numbers are 882, 318, 48
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 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 48 :
The positive integer divisors of 48 that completely divides 48 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
GCD of numbers is the greatest common divisor
So, the GCD (882, 318, 48) = 6.
Given numbers are 882, 318, 48
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 318 are 2 x 3 x 53
Prime factors of 48 are 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 882, 318, 48 is 6.
Steps to Calculate GCD of 882, 318, 48 using LCM Formula
Given numbers are 882, 318, 48
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 318) = 46746
GCD(882, 318) = ( 882 x 318 ) / 46746
= 882 / 318
= 882
Step2:
LCM(6, 48) = 48
GCD(6, 48) = ( 6 x 48 ) / 48
= 6 / 48
= 6
So, Greatest Common Divisor of 882, 318, 48 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 882, 318, 48
Given numbers are 882, 318, 48
The greatest common divisor of numbers 882, 318, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 318, 48 is 6.
FAQs on GCD of 882, 318, 48 Calculator
1. What is the GCD of 882, 318, 48?
GCD of given numbers 882, 318, 48 is 6
2. How to calculate the greatest common divisor of 882, 318, 48?
We can find the highest common divisor of 882, 318, 48 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, 318, 48 i.e 6.
3. How can I use the GCD of 882, 318, 48Calculator?
Out the numbers 882, 318, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.