Where do I get the detailed procedure to find GCD of 284, 496, 698?

You can find a detailed procedure to find GCD of 284, 496, 698 on our page.

How to find GCD of 284, 496, 698 on a calculator?

You can find the GCD of 284, 496, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 284, 496, 698 Calculator

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

Online GCD Calculator is useful to find the GCD of 284, 496, 698 quickly. Get the easiest ways to solve the greatest common divisor of 284, 496, 698 i.e 2 in different methods as follows.

How to Find GCD of Numbers 284, 496, 698 with Factoring?

Given Input numbers are 284, 496, 698

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (284, 496, 698) = 2.

Find GCD of 284, 496, 698 using Prime Factorization

Given numbers are 284, 496, 698

The list of prime factors of all numbers are

Prime factors of 284 are 2 x 2 x 71

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 284, 496, 698 is 2.

Steps to Calculate GCD of 284, 496, 698 using LCM Formula

Given numbers are 284, 496, 698

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

Apply this formula for all numbers.

Step1:

LCM(284, 496) = 35216

GCD(284, 496) = ( 284 x 496 ) / 35216

= 284 / 496

= 284

Step2:

LCM(4, 698) = 1396

GCD(4, 698) = ( 4 x 698 ) / 1396

= 4 / 698

= 4

So, Greatest Common Divisor of 284, 496, 698 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 284, 496, 698

Given numbers are 284, 496, 698
The greatest common divisor of numbers 284, 496, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 496, 698 is 2.

FAQs on GCD of 284, 496, 698 Calculator

1. What is the GCD of 284, 496, 698?

GCD of given numbers 284, 496, 698 is 2

2. How to calculate the greatest common divisor of 284, 496, 698?

We can find the highest common divisor of 284, 496, 698 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 284, 496, 698 i.e 2.

3. How can I use the GCD of 284, 496, 698Calculator?

Out the numbers 284, 496, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.