Where do I get the detailed procedure to find GCD of 584, 152, 213?

You can find a detailed procedure to find GCD of 584, 152, 213 on our page.

How to find GCD of 584, 152, 213 on a calculator?

You can find the GCD of 584, 152, 213 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 584, 152, 213 Calculator

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

Online GCD Calculator is useful to find the GCD of 584, 152, 213 quickly. Get the easiest ways to solve the greatest common divisor of 584, 152, 213 i.e 1 in different methods as follows.

How to Find GCD of Numbers 584, 152, 213 with Factoring?

Given Input numbers are 584, 152, 213

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

Divisors of 584 :

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

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (584, 152, 213) = 1.

Find GCD of 584, 152, 213 using Prime Factorization

Given numbers are 584, 152, 213

The list of prime factors of all numbers are

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

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 213 are 3 x 71

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

Steps to Calculate GCD of 584, 152, 213 using LCM Formula

Given numbers are 584, 152, 213

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

Apply this formula for all numbers.

Step1:

LCM(584, 152) = 11096

GCD(584, 152) = ( 584 x 152 ) / 11096

= 584 / 152

= 584

Step2:

LCM(8, 213) = 1704

GCD(8, 213) = ( 8 x 213 ) / 1704

= 8 / 213

= 8

So, Greatest Common Divisor of 584, 152, 213 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 584, 152, 213

Given numbers are 584, 152, 213
The greatest common divisor of numbers 584, 152, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 152, 213 is 1.

FAQs on GCD of 584, 152, 213 Calculator

1. What is the GCD of 584, 152, 213?

GCD of given numbers 584, 152, 213 is 1

2. How to calculate the greatest common divisor of 584, 152, 213?

We can find the highest common divisor of 584, 152, 213 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 584, 152, 213 i.e 1.

3. How can I use the GCD of 584, 152, 213Calculator?

Out the numbers 584, 152, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.