GCD of 105, 198, 462 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 105, 198, 462 quickly. Get the easiest ways to solve the greatest common divisor of 105, 198, 462 i.e 3 in different methods as follows.
Given Input numbers are 105, 198, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
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
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (105, 198, 462) = 3.
Given numbers are 105, 198, 462
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 105, 198, 462 is 3.
Steps to Calculate GCD of 105, 198, 462 using LCM Formula
Given numbers are 105, 198, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 198) = 6930
GCD(105, 198) = ( 105 x 198 ) / 6930
= 105 / 198
= 105
Step2:
LCM(3, 462) = 462
GCD(3, 462) = ( 3 x 462 ) / 462
= 3 / 462
= 3
So, Greatest Common Divisor of 105, 198, 462 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 105, 198, 462
Given numbers are 105, 198, 462
The greatest common divisor of numbers 105, 198, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 198, 462 is 3.
FAQs on GCD of 105, 198, 462 Calculator
1. What is the GCD of 105, 198, 462?
GCD of given numbers 105, 198, 462 is 3
2. How to calculate the greatest common divisor of 105, 198, 462?
We can find the highest common divisor of 105, 198, 462 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 105, 198, 462 i.e 3.
3. How can I use the GCD of 105, 198, 462Calculator?
Out the numbers 105, 198, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.