Where do I get the detailed procedure to find GCD of 693, 109, 307?

You can find a detailed procedure to find GCD of 693, 109, 307 on our page.

How to find GCD of 693, 109, 307 on a calculator?

You can find the GCD of 693, 109, 307 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 693, 109, 307 Calculator

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

Online GCD Calculator is useful to find the GCD of 693, 109, 307 quickly. Get the easiest ways to solve the greatest common divisor of 693, 109, 307 i.e 1 in different methods as follows.

How to Find GCD of Numbers 693, 109, 307 with Factoring?

Given Input numbers are 693, 109, 307

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

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

GCD of numbers is the greatest common divisor

So, the GCD (693, 109, 307) = 1.

Find GCD of 693, 109, 307 using Prime Factorization

Given numbers are 693, 109, 307

The list of prime factors of all numbers are

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 109 are 109

Prime factors of 307 are 307

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

Steps to Calculate GCD of 693, 109, 307 using LCM Formula

Given numbers are 693, 109, 307

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

Apply this formula for all numbers.

Step1:

LCM(693, 109) = 75537

GCD(693, 109) = ( 693 x 109 ) / 75537

= 693 / 109

= 693

Step2:

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

= 1 / 307

= 1

So, Greatest Common Divisor of 693, 109, 307 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 693, 109, 307

Given numbers are 693, 109, 307
The greatest common divisor of numbers 693, 109, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 109, 307 is 1.

FAQs on GCD of 693, 109, 307 Calculator

1. What is the GCD of 693, 109, 307?

GCD of given numbers 693, 109, 307 is 1

2. How to calculate the greatest common divisor of 693, 109, 307?

We can find the highest common divisor of 693, 109, 307 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 693, 109, 307 i.e 1.

3. How can I use the GCD of 693, 109, 307Calculator?

Out the numbers 693, 109, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.