Where do I get the detailed procedure to find GCD of 687, 150, 345?

You can find a detailed procedure to find GCD of 687, 150, 345 on our page.

How to find GCD of 687, 150, 345 on a calculator?

You can find the GCD of 687, 150, 345 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 687, 150, 345 Calculator

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

Online GCD Calculator is useful to find the GCD of 687, 150, 345 quickly. Get the easiest ways to solve the greatest common divisor of 687, 150, 345 i.e 3 in different methods as follows.

How to Find GCD of Numbers 687, 150, 345 with Factoring?

Given Input numbers are 687, 150, 345

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (687, 150, 345) = 3.

Find GCD of 687, 150, 345 using Prime Factorization

Given numbers are 687, 150, 345

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 345 are 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 687, 150, 345 is 3.

Steps to Calculate GCD of 687, 150, 345 using LCM Formula

Given numbers are 687, 150, 345

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

Apply this formula for all numbers.

Step1:

LCM(687, 150) = 34350

GCD(687, 150) = ( 687 x 150 ) / 34350

= 687 / 150

= 687

Step2:

LCM(3, 345) = 345

GCD(3, 345) = ( 3 x 345 ) / 345

= 3 / 345

= 3

So, Greatest Common Divisor of 687, 150, 345 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 687, 150, 345

Given numbers are 687, 150, 345
The greatest common divisor of numbers 687, 150, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 150, 345 is 3.

FAQs on GCD of 687, 150, 345 Calculator

1. What is the GCD of 687, 150, 345?

GCD of given numbers 687, 150, 345 is 3

2. How to calculate the greatest common divisor of 687, 150, 345?

We can find the highest common divisor of 687, 150, 345 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 687, 150, 345 i.e 3.

3. How can I use the GCD of 687, 150, 345Calculator?

Out the numbers 687, 150, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.