GCD of 840, 219, 198 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 840, 219, 198 quickly. Get the easiest ways to solve the greatest common divisor of 840, 219, 198 i.e 3 in different methods as follows.
Given Input numbers are 840, 219, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 219 :
The positive integer divisors of 219 that completely divides 219 are.
1, 3, 73, 219
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (840, 219, 198) = 3.
Given numbers are 840, 219, 198
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 219 are 3 x 73
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 840, 219, 198 is 3.
Steps to Calculate GCD of 840, 219, 198 using LCM Formula
Given numbers are 840, 219, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 219) = 61320
GCD(840, 219) = ( 840 x 219 ) / 61320
= 840 / 219
= 840
Step2:
LCM(3, 198) = 198
GCD(3, 198) = ( 3 x 198 ) / 198
= 3 / 198
= 3
So, Greatest Common Divisor of 840, 219, 198 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 840, 219, 198
Given numbers are 840, 219, 198
The greatest common divisor of numbers 840, 219, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 219, 198 is 3.
FAQs on GCD of 840, 219, 198 Calculator
1. What is the GCD of 840, 219, 198?
GCD of given numbers 840, 219, 198 is 3
2. How to calculate the greatest common divisor of 840, 219, 198?
We can find the highest common divisor of 840, 219, 198 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 840, 219, 198 i.e 3.
3. How can I use the GCD of 840, 219, 198Calculator?
Out the numbers 840, 219, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.