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GCD of 588, 498, 597, 384 Calculator

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


Online GCD Calculator is useful to find the GCD of 588, 498, 597, 384 quickly. Get the easiest ways to solve the greatest common divisor of 588, 498, 597, 384 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 588, 498, 597, 384 with Factoring?

Given Input numbers are 588, 498, 597, 384

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384


GCD of numbers is the greatest common divisor

So, the GCD (588, 498, 597, 384) = 3.

Find GCD of 588, 498, 597, 384 using Prime Factorization

Given numbers are 588, 498, 597, 384

The list of prime factors of all numbers are

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 498 are 2 x 3 x 83

Prime factors of 597 are 3 x 199

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 31

Therefore, GCD of 588, 498, 597, 384 is 3.

Steps to Calculate GCD of 588, 498, 597, 384 using LCM Formula

Given numbers are 588, 498, 597, 384

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

Apply this formula for all numbers.

Step1:

LCM(588, 498) = 48804

GCD(588, 498) = ( 588 x 498 ) / 48804

= 588 / 498

= 588


Step2:

LCM(6, 597) = 1194

GCD(6, 597) = ( 6 x 597 ) / 1194

= 6 / 597

= 6


Step3:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3


So, Greatest Common Divisor of 588, 498, 597, 384 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 588, 498, 597, 384

Given numbers are 588, 498, 597, 384
The greatest common divisor of numbers 588, 498, 597, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 498, 597, 384 is 3.

FAQs on GCD of 588, 498, 597, 384 Calculator

1. What is the GCD of 588, 498, 597, 384?

GCD of given numbers 588, 498, 597, 384 is 3


2. How to calculate the greatest common divisor of 588, 498, 597, 384?

We can find the highest common divisor of 588, 498, 597, 384 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 588, 498, 597, 384 i.e 3.


3. How can I use the GCD of 588, 498, 597, 384Calculator?

Out the numbers 588, 498, 597, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.