Where do I get the detailed procedure to find GCD of 359, 705, 667?

You can find a detailed procedure to find GCD of 359, 705, 667 on our page.

How to find GCD of 359, 705, 667 on a calculator?

You can find the GCD of 359, 705, 667 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 359, 705, 667 Calculator

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

Online GCD Calculator is useful to find the GCD of 359, 705, 667 quickly. Get the easiest ways to solve the greatest common divisor of 359, 705, 667 i.e 1 in different methods as follows.

How to Find GCD of Numbers 359, 705, 667 with Factoring?

Given Input numbers are 359, 705, 667

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

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 705 :

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

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

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

GCD of numbers is the greatest common divisor

So, the GCD (359, 705, 667) = 1.

Find GCD of 359, 705, 667 using Prime Factorization

Given numbers are 359, 705, 667

The list of prime factors of all numbers are

Prime factors of 359 are 359

Prime factors of 705 are 3 x 5 x 47

Prime factors of 667 are 23 x 29

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

Steps to Calculate GCD of 359, 705, 667 using LCM Formula

Given numbers are 359, 705, 667

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

Apply this formula for all numbers.

Step1:

LCM(359, 705) = 253095

GCD(359, 705) = ( 359 x 705 ) / 253095

= 359 / 705

= 359

Step2:

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

= 1 / 667

= 1

So, Greatest Common Divisor of 359, 705, 667 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 359, 705, 667

Given numbers are 359, 705, 667
The greatest common divisor of numbers 359, 705, 667 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 359, 705, 667 is 1.

FAQs on GCD of 359, 705, 667 Calculator

1. What is the GCD of 359, 705, 667?

GCD of given numbers 359, 705, 667 is 1

2. How to calculate the greatest common divisor of 359, 705, 667?

We can find the highest common divisor of 359, 705, 667 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 359, 705, 667 i.e 1.

3. How can I use the GCD of 359, 705, 667Calculator?

Out the numbers 359, 705, 667 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.