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GCD of 424, 198, 296, 675 Calculator

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


Online GCD Calculator is useful to find the GCD of 424, 198, 296, 675 quickly. Get the easiest ways to solve the greatest common divisor of 424, 198, 296, 675 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 424, 198, 296, 675 with Factoring?

Given Input numbers are 424, 198, 296, 675

In the factoring method, we have to find the divisors of all numbers

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

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 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675


GCD of numbers is the greatest common divisor

So, the GCD (424, 198, 296, 675) = 1.

Find GCD of 424, 198, 296, 675 using Prime Factorization

Given numbers are 424, 198, 296, 675

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

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

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 424, 198, 296, 675 using LCM Formula

Given numbers are 424, 198, 296, 675

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

Apply this formula for all numbers.

Step1:

LCM(424, 198) = 41976

GCD(424, 198) = ( 424 x 198 ) / 41976

= 424 / 198

= 424


Step2:

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

= 2 / 296

= 2


Step3:

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

= 2 / 675

= 2


So, Greatest Common Divisor of 424, 198, 296, 675 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 424, 198, 296, 675

Given numbers are 424, 198, 296, 675
The greatest common divisor of numbers 424, 198, 296, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 198, 296, 675 is 1.

FAQs on GCD of 424, 198, 296, 675 Calculator

1. What is the GCD of 424, 198, 296, 675?

GCD of given numbers 424, 198, 296, 675 is 1


2. How to calculate the greatest common divisor of 424, 198, 296, 675?

We can find the highest common divisor of 424, 198, 296, 675 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 424, 198, 296, 675 i.e 1.


3. How can I use the GCD of 424, 198, 296, 675Calculator?

Out the numbers 424, 198, 296, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.