GCD of 630, 882, 112 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 630, 882, 112 quickly. Get the easiest ways to solve the greatest common divisor of 630, 882, 112 i.e 14 in different methods as follows.
Given Input numbers are 630, 882, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
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 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (630, 882, 112) = 14.
Given numbers are 630, 882, 112
The list of prime factors of all numbers are
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 630, 882, 112 is 14.
Steps to Calculate GCD of 630, 882, 112 using LCM Formula
Given numbers are 630, 882, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 882) = 4410
GCD(630, 882) = ( 630 x 882 ) / 4410
= 630 / 882
= 630
Step2:
LCM(126, 112) = 1008
GCD(126, 112) = ( 126 x 112 ) / 1008
= 126 / 112
= 126
So, Greatest Common Divisor of 630, 882, 112 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 630, 882, 112
Given numbers are 630, 882, 112
The greatest common divisor of numbers 630, 882, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 882, 112 is 14.
FAQs on GCD of 630, 882, 112 Calculator
1. What is the GCD of 630, 882, 112?
GCD of given numbers 630, 882, 112 is 14
2. How to calculate the greatest common divisor of 630, 882, 112?
We can find the highest common divisor of 630, 882, 112 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 630, 882, 112 i.e 14.
3. How can I use the GCD of 630, 882, 112Calculator?
Out the numbers 630, 882, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.