GCD of 198, 609, 632 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 198, 609, 632 quickly. Get the easiest ways to solve the greatest common divisor of 198, 609, 632 i.e 1 in different methods as follows.
Given Input numbers are 198, 609, 632
In the factoring method, we have to find the divisors of all numbers
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 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
GCD of numbers is the greatest common divisor
So, the GCD (198, 609, 632) = 1.
Given numbers are 198, 609, 632
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 609 are 3 x 7 x 29
Prime factors of 632 are 2 x 2 x 2 x 79
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 198, 609, 632 using LCM Formula
Given numbers are 198, 609, 632
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 609) = 40194
GCD(198, 609) = ( 198 x 609 ) / 40194
= 198 / 609
= 198
Step2:
LCM(3, 632) = 1896
GCD(3, 632) = ( 3 x 632 ) / 1896
= 3 / 632
= 3
So, Greatest Common Divisor of 198, 609, 632 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 198, 609, 632
Given numbers are 198, 609, 632
The greatest common divisor of numbers 198, 609, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 609, 632 is 1.
FAQs on GCD of 198, 609, 632 Calculator
1. What is the GCD of 198, 609, 632?
GCD of given numbers 198, 609, 632 is 1
2. How to calculate the greatest common divisor of 198, 609, 632?
We can find the highest common divisor of 198, 609, 632 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 198, 609, 632 i.e 1.
3. How can I use the GCD of 198, 609, 632Calculator?
Out the numbers 198, 609, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.