Where do I get the detailed procedure to find GCD of 497, 623, 448?

You can find a detailed procedure to find GCD of 497, 623, 448 on our page.

How to find GCD of 497, 623, 448 on a calculator?

You can find the GCD of 497, 623, 448 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 497, 623, 448 Calculator

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

Online GCD Calculator is useful to find the GCD of 497, 623, 448 quickly. Get the easiest ways to solve the greatest common divisor of 497, 623, 448 i.e 7 in different methods as follows.

How to Find GCD of Numbers 497, 623, 448 with Factoring?

Given Input numbers are 497, 623, 448

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

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 623 :

The positive integer divisors of 623 that completely divides 623 are.

1, 7, 89, 623

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (497, 623, 448) = 7.

Find GCD of 497, 623, 448 using Prime Factorization

Given numbers are 497, 623, 448

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 623 are 7 x 89

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 7¹

Therefore, GCD of 497, 623, 448 is 7.

Steps to Calculate GCD of 497, 623, 448 using LCM Formula

Given numbers are 497, 623, 448

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

Apply this formula for all numbers.

Step1:

LCM(497, 623) = 44233

GCD(497, 623) = ( 497 x 623 ) / 44233

= 497 / 623

= 497

Step2:

LCM(7, 448) = 448

GCD(7, 448) = ( 7 x 448 ) / 448

= 7 / 448

= 7

So, Greatest Common Divisor of 497, 623, 448 is 7

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 497, 623, 448

Given numbers are 497, 623, 448
The greatest common divisor of numbers 497, 623, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 623, 448 is 7.

FAQs on GCD of 497, 623, 448 Calculator

1. What is the GCD of 497, 623, 448?

GCD of given numbers 497, 623, 448 is 7

2. How to calculate the greatest common divisor of 497, 623, 448?

We can find the highest common divisor of 497, 623, 448 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 497, 623, 448 i.e 7.

3. How can I use the GCD of 497, 623, 448Calculator?

Out the numbers 497, 623, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.