GCD of 453, 198, 63 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 453, 198, 63 quickly. Get the easiest ways to solve the greatest common divisor of 453, 198, 63 i.e 3 in different methods as follows.
Given Input numbers are 453, 198, 63
In the factoring method, we have to find the divisors of all numbers
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
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 63 :
The positive integer divisors of 63 that completely divides 63 are.
1, 3, 7, 9, 21, 63
GCD of numbers is the greatest common divisor
So, the GCD (453, 198, 63) = 3.
Given numbers are 453, 198, 63
The list of prime factors of all numbers are
Prime factors of 453 are 3 x 151
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 63 are 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 453, 198, 63 is 3.
Steps to Calculate GCD of 453, 198, 63 using LCM Formula
Given numbers are 453, 198, 63
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(453, 198) = 29898
GCD(453, 198) = ( 453 x 198 ) / 29898
= 453 / 198
= 453
Step2:
LCM(3, 63) = 63
GCD(3, 63) = ( 3 x 63 ) / 63
= 3 / 63
= 3
So, Greatest Common Divisor of 453, 198, 63 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 453, 198, 63
Given numbers are 453, 198, 63
The greatest common divisor of numbers 453, 198, 63 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 453, 198, 63 is 3.
FAQs on GCD of 453, 198, 63 Calculator
1. What is the GCD of 453, 198, 63?
GCD of given numbers 453, 198, 63 is 3
2. How to calculate the greatest common divisor of 453, 198, 63?
We can find the highest common divisor of 453, 198, 63 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 453, 198, 63 i.e 3.
3. How can I use the GCD of 453, 198, 63Calculator?
Out the numbers 453, 198, 63 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.