Where do I get the detailed procedure to find GCD of 705, 675, 690?

You can find a detailed procedure to find GCD of 705, 675, 690 on our page.

How to find GCD of 705, 675, 690 on a calculator?

You can find the GCD of 705, 675, 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 705, 675, 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 705, 675, 690 quickly. Get the easiest ways to solve the greatest common divisor of 705, 675, 690 i.e 15 in different methods as follows.

How to Find GCD of Numbers 705, 675, 690 with Factoring?

Given Input numbers are 705, 675, 690

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 (705, 675, 690) = 15.

Find GCD of 705, 675, 690 using Prime Factorization

Given numbers are 705, 675, 690

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 705, 675, 690 is 15.

Steps to Calculate GCD of 705, 675, 690 using LCM Formula

Given numbers are 705, 675, 690

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

Apply this formula for all numbers.

Step1:

LCM(705, 675) = 31725

GCD(705, 675) = ( 705 x 675 ) / 31725

= 705 / 675

= 705

Step2:

LCM(15, 690) = 690

GCD(15, 690) = ( 15 x 690 ) / 690

= 15 / 690

= 15

So, Greatest Common Divisor of 705, 675, 690 is 15

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 705, 675, 690

Given numbers are 705, 675, 690
The greatest common divisor of numbers 705, 675, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 675, 690 is 15.

FAQs on GCD of 705, 675, 690 Calculator

1. What is the GCD of 705, 675, 690?

GCD of given numbers 705, 675, 690 is 15

2. How to calculate the greatest common divisor of 705, 675, 690?

We can find the highest common divisor of 705, 675, 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 705, 675, 690 i.e 15.

3. How can I use the GCD of 705, 675, 690Calculator?

Out the numbers 705, 675, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.