Where do I get the detailed procedure to find GCD of 705, 345, 837?

You can find a detailed procedure to find GCD of 705, 345, 837 on our page.

How to find GCD of 705, 345, 837 on a calculator?

You can find the GCD of 705, 345, 837 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 705, 345, 837 Calculator

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

Online GCD Calculator is useful to find the GCD of 705, 345, 837 quickly. Get the easiest ways to solve the greatest common divisor of 705, 345, 837 i.e 3 in different methods as follows.

How to Find GCD of Numbers 705, 345, 837 with Factoring?

Given Input numbers are 705, 345, 837

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 345 :

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

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

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

GCD of numbers is the greatest common divisor

So, the GCD (705, 345, 837) = 3.

Find GCD of 705, 345, 837 using Prime Factorization

Given numbers are 705, 345, 837

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 345 are 3 x 5 x 23

Prime factors of 837 are 3 x 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 705, 345, 837 is 3.

Steps to Calculate GCD of 705, 345, 837 using LCM Formula

Given numbers are 705, 345, 837

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

Apply this formula for all numbers.

Step1:

LCM(705, 345) = 16215

GCD(705, 345) = ( 705 x 345 ) / 16215

= 705 / 345

= 705

Step2:

LCM(15, 837) = 4185

GCD(15, 837) = ( 15 x 837 ) / 4185

= 15 / 837

= 15

So, Greatest Common Divisor of 705, 345, 837 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 705, 345, 837

Given numbers are 705, 345, 837
The greatest common divisor of numbers 705, 345, 837 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 345, 837 is 3.

FAQs on GCD of 705, 345, 837 Calculator

1. What is the GCD of 705, 345, 837?

GCD of given numbers 705, 345, 837 is 3

2. How to calculate the greatest common divisor of 705, 345, 837?

We can find the highest common divisor of 705, 345, 837 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 705, 345, 837 i.e 3.

3. How can I use the GCD of 705, 345, 837Calculator?

Out the numbers 705, 345, 837 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.