Where do I get the detailed procedure to find GCD of 465, 688, 89?

You can find a detailed procedure to find GCD of 465, 688, 89 on our page.

How to find GCD of 465, 688, 89 on a calculator?

You can find the GCD of 465, 688, 89 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 465, 688, 89 Calculator

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

Online GCD Calculator is useful to find the GCD of 465, 688, 89 quickly. Get the easiest ways to solve the greatest common divisor of 465, 688, 89 i.e 1 in different methods as follows.

How to Find GCD of Numbers 465, 688, 89 with Factoring?

Given Input numbers are 465, 688, 89

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 89 :

The positive integer divisors of 89 that completely divides 89 are.

1, 89

GCD of numbers is the greatest common divisor

So, the GCD (465, 688, 89) = 1.

Find GCD of 465, 688, 89 using Prime Factorization

Given numbers are 465, 688, 89

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 89 are 89

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

Steps to Calculate GCD of 465, 688, 89 using LCM Formula

Given numbers are 465, 688, 89

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

Apply this formula for all numbers.

Step1:

LCM(465, 688) = 319920

GCD(465, 688) = ( 465 x 688 ) / 319920

= 465 / 688

= 465

Step2:

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

= 1 / 89

= 1

So, Greatest Common Divisor of 465, 688, 89 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 465, 688, 89

Given numbers are 465, 688, 89
The greatest common divisor of numbers 465, 688, 89 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 688, 89 is 1.

FAQs on GCD of 465, 688, 89 Calculator

1. What is the GCD of 465, 688, 89?

GCD of given numbers 465, 688, 89 is 1

2. How to calculate the greatest common divisor of 465, 688, 89?

We can find the highest common divisor of 465, 688, 89 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 465, 688, 89 i.e 1.

3. How can I use the GCD of 465, 688, 89Calculator?

Out the numbers 465, 688, 89 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.