Where do I get the detailed procedure to find GCD of 464, 584, 698?

You can find a detailed procedure to find GCD of 464, 584, 698 on our page.

How to find GCD of 464, 584, 698 on a calculator?

You can find the GCD of 464, 584, 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 464, 584, 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 464, 584, 698 quickly. Get the easiest ways to solve the greatest common divisor of 464, 584, 698 i.e 2 in different methods as follows.

How to Find GCD of Numbers 464, 584, 698 with Factoring?

Given Input numbers are 464, 584, 698

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

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 (464, 584, 698) = 2.

Find GCD of 464, 584, 698 using Prime Factorization

Given numbers are 464, 584, 698

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 464, 584, 698 is 2.

Steps to Calculate GCD of 464, 584, 698 using LCM Formula

Given numbers are 464, 584, 698

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

Apply this formula for all numbers.

Step1:

LCM(464, 584) = 33872

GCD(464, 584) = ( 464 x 584 ) / 33872

= 464 / 584

= 464

Step2:

LCM(8, 698) = 2792

GCD(8, 698) = ( 8 x 698 ) / 2792

= 8 / 698

= 8

So, Greatest Common Divisor of 464, 584, 698 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 464, 584, 698

Given numbers are 464, 584, 698
The greatest common divisor of numbers 464, 584, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 584, 698 is 2.

FAQs on GCD of 464, 584, 698 Calculator

1. What is the GCD of 464, 584, 698?

GCD of given numbers 464, 584, 698 is 2

2. How to calculate the greatest common divisor of 464, 584, 698?

We can find the highest common divisor of 464, 584, 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 464, 584, 698 i.e 2.

3. How can I use the GCD of 464, 584, 698Calculator?

Out the numbers 464, 584, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.