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GCD of 398, 424, 984, 297 Calculator

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


Online GCD Calculator is useful to find the GCD of 398, 424, 984, 297 quickly. Get the easiest ways to solve the greatest common divisor of 398, 424, 984, 297 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 398, 424, 984, 297 with Factoring?

Given Input numbers are 398, 424, 984, 297

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 424 :

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

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297


GCD of numbers is the greatest common divisor

So, the GCD (398, 424, 984, 297) = 1.

Find GCD of 398, 424, 984, 297 using Prime Factorization

Given numbers are 398, 424, 984, 297

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

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

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 297 are 3 x 3 x 3 x 11

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

Steps to Calculate GCD of 398, 424, 984, 297 using LCM Formula

Given numbers are 398, 424, 984, 297

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

Apply this formula for all numbers.

Step1:

LCM(398, 424) = 84376

GCD(398, 424) = ( 398 x 424 ) / 84376

= 398 / 424

= 398


Step2:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2


Step3:

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

= 2 / 297

= 2


So, Greatest Common Divisor of 398, 424, 984, 297 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 398, 424, 984, 297

Given numbers are 398, 424, 984, 297
The greatest common divisor of numbers 398, 424, 984, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 424, 984, 297 is 1.

FAQs on GCD of 398, 424, 984, 297 Calculator

1. What is the GCD of 398, 424, 984, 297?

GCD of given numbers 398, 424, 984, 297 is 1


2. How to calculate the greatest common divisor of 398, 424, 984, 297?

We can find the highest common divisor of 398, 424, 984, 297 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 398, 424, 984, 297 i.e 1.


3. How can I use the GCD of 398, 424, 984, 297Calculator?

Out the numbers 398, 424, 984, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.