GCD of 314, 648, 882 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 314, 648, 882 quickly. Get the easiest ways to solve the greatest common divisor of 314, 648, 882 i.e 2 in different methods as follows.
Given Input numbers are 314, 648, 882
In the factoring method, we have to find the divisors of all numbers
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
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
GCD of numbers is the greatest common divisor
So, the GCD (314, 648, 882) = 2.
Given numbers are 314, 648, 882
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 314, 648, 882 is 2.
Steps to Calculate GCD of 314, 648, 882 using LCM Formula
Given numbers are 314, 648, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 648) = 101736
GCD(314, 648) = ( 314 x 648 ) / 101736
= 314 / 648
= 314
Step2:
LCM(2, 882) = 882
GCD(2, 882) = ( 2 x 882 ) / 882
= 2 / 882
= 2
So, Greatest Common Divisor of 314, 648, 882 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 314, 648, 882
Given numbers are 314, 648, 882
The greatest common divisor of numbers 314, 648, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 648, 882 is 2.
FAQs on GCD of 314, 648, 882 Calculator
1. What is the GCD of 314, 648, 882?
GCD of given numbers 314, 648, 882 is 2
2. How to calculate the greatest common divisor of 314, 648, 882?
We can find the highest common divisor of 314, 648, 882 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 314, 648, 882 i.e 2.
3. How can I use the GCD of 314, 648, 882Calculator?
Out the numbers 314, 648, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.