Where do I get the detailed procedure to find GCD of 105, 699, 690?

You can find a detailed procedure to find GCD of 105, 699, 690 on our page.

How to find GCD of 105, 699, 690 on a calculator?

You can find the GCD of 105, 699, 690 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 105, 699, 690 Calculator

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

Online GCD Calculator is useful to find the GCD of 105, 699, 690 quickly. Get the easiest ways to solve the greatest common divisor of 105, 699, 690 i.e 3 in different methods as follows.

How to Find GCD of Numbers 105, 699, 690 with Factoring?

Given Input numbers are 105, 699, 690

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (105, 699, 690) = 3.

Find GCD of 105, 699, 690 using Prime Factorization

Given numbers are 105, 699, 690

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 699 are 3 x 233

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 105, 699, 690 is 3.

Steps to Calculate GCD of 105, 699, 690 using LCM Formula

Given numbers are 105, 699, 690

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

Apply this formula for all numbers.

Step1:

LCM(105, 699) = 24465

GCD(105, 699) = ( 105 x 699 ) / 24465

= 105 / 699

= 105

Step2:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

So, Greatest Common Divisor of 105, 699, 690 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 105, 699, 690

Given numbers are 105, 699, 690
The greatest common divisor of numbers 105, 699, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 699, 690 is 3.

FAQs on GCD of 105, 699, 690 Calculator

1. What is the GCD of 105, 699, 690?

GCD of given numbers 105, 699, 690 is 3

2. How to calculate the greatest common divisor of 105, 699, 690?

We can find the highest common divisor of 105, 699, 690 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 105, 699, 690 i.e 3.

3. How can I use the GCD of 105, 699, 690Calculator?

Out the numbers 105, 699, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.