GCD of 210, 112, 119 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 210, 112, 119 quickly. Get the easiest ways to solve the greatest common divisor of 210, 112, 119 i.e 7 in different methods as follows.
Given Input numbers are 210, 112, 119
In the factoring method, we have to find the divisors of all numbers
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
GCD of numbers is the greatest common divisor
So, the GCD (210, 112, 119) = 7.
Given numbers are 210, 112, 119
The list of prime factors of all numbers are
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 119 are 7 x 17
The highest common occurrence is 71
Therefore, GCD of 210, 112, 119 is 7.
Steps to Calculate GCD of 210, 112, 119 using LCM Formula
Given numbers are 210, 112, 119
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(210, 112) = 1680
GCD(210, 112) = ( 210 x 112 ) / 1680
= 210 / 112
= 210
Step2:
LCM(14, 119) = 238
GCD(14, 119) = ( 14 x 119 ) / 238
= 14 / 119
= 14
So, Greatest Common Divisor of 210, 112, 119 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 210, 112, 119
Given numbers are 210, 112, 119
The greatest common divisor of numbers 210, 112, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 112, 119 is 7.
FAQs on GCD of 210, 112, 119 Calculator
1. What is the GCD of 210, 112, 119?
GCD of given numbers 210, 112, 119 is 7
2. How to calculate the greatest common divisor of 210, 112, 119?
We can find the highest common divisor of 210, 112, 119 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 210, 112, 119 i.e 7.
3. How can I use the GCD of 210, 112, 119Calculator?
Out the numbers 210, 112, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.