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GCD of 198, 672, 388, 146 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 198, 672, 388, 146 quickly. Get the easiest ways to solve the greatest common divisor of 198, 672, 388, 146 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 198, 672, 388, 146 with Factoring?

Given Input numbers are 198, 672, 388, 146

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 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146


GCD of numbers is the greatest common divisor

So, the GCD (198, 672, 388, 146) = 2.

Find GCD of 198, 672, 388, 146 using Prime Factorization

Given numbers are 198, 672, 388, 146

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 388 are 2 x 2 x 97

Prime factors of 146 are 2 x 73

The highest common occurrence is 21

Therefore, GCD of 198, 672, 388, 146 is 2.

Steps to Calculate GCD of 198, 672, 388, 146 using LCM Formula

Given numbers are 198, 672, 388, 146

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(198, 672) = 22176

GCD(198, 672) = ( 198 x 672 ) / 22176

= 198 / 672

= 198


Step2:

LCM(6, 388) = 1164

GCD(6, 388) = ( 6 x 388 ) / 1164

= 6 / 388

= 6


Step3:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2


So, Greatest Common Divisor of 198, 672, 388, 146 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 198, 672, 388, 146

Given numbers are 198, 672, 388, 146
The greatest common divisor of numbers 198, 672, 388, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 672, 388, 146 is 2.

FAQs on GCD of 198, 672, 388, 146 Calculator

1. What is the GCD of 198, 672, 388, 146?

GCD of given numbers 198, 672, 388, 146 is 2


2. How to calculate the greatest common divisor of 198, 672, 388, 146?

We can find the highest common divisor of 198, 672, 388, 146 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, 672, 388, 146 i.e 2.


3. How can I use the GCD of 198, 672, 388, 146Calculator?

Out the numbers 198, 672, 388, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.