GCD of 298, 960, 198 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 298, 960, 198 quickly. Get the easiest ways to solve the greatest common divisor of 298, 960, 198 i.e 2 in different methods as follows.
Given Input numbers are 298, 960, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
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 (298, 960, 198) = 2.
Given numbers are 298, 960, 198
The list of prime factors of all numbers are
Prime factors of 298 are 2 x 149
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 298, 960, 198 is 2.
Steps to Calculate GCD of 298, 960, 198 using LCM Formula
Given numbers are 298, 960, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(298, 960) = 143040
GCD(298, 960) = ( 298 x 960 ) / 143040
= 298 / 960
= 298
Step2:
LCM(2, 198) = 198
GCD(2, 198) = ( 2 x 198 ) / 198
= 2 / 198
= 2
So, Greatest Common Divisor of 298, 960, 198 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 298, 960, 198
Given numbers are 298, 960, 198
The greatest common divisor of numbers 298, 960, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 960, 198 is 2.
FAQs on GCD of 298, 960, 198 Calculator
1. What is the GCD of 298, 960, 198?
GCD of given numbers 298, 960, 198 is 2
2. How to calculate the greatest common divisor of 298, 960, 198?
We can find the highest common divisor of 298, 960, 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 298, 960, 198 i.e 2.
3. How can I use the GCD of 298, 960, 198Calculator?
Out the numbers 298, 960, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.