Where do I get the detailed procedure to find GCD of 705, 765, 747?

You can find a detailed procedure to find GCD of 705, 765, 747 on our page.

How to find GCD of 705, 765, 747 on a calculator?

You can find the GCD of 705, 765, 747 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, 765, 747 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, 765, 747 quickly. Get the easiest ways to solve the greatest common divisor of 705, 765, 747 i.e 3 in different methods as follows.

How to Find GCD of Numbers 705, 765, 747 with Factoring?

Given Input numbers are 705, 765, 747

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 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (705, 765, 747) = 3.

Find GCD of 705, 765, 747 using Prime Factorization

Given numbers are 705, 765, 747

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 705, 765, 747 is 3.

Steps to Calculate GCD of 705, 765, 747 using LCM Formula

Given numbers are 705, 765, 747

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

Apply this formula for all numbers.

Step1:

LCM(705, 765) = 35955

GCD(705, 765) = ( 705 x 765 ) / 35955

= 705 / 765

= 705

Step2:

LCM(15, 747) = 3735

GCD(15, 747) = ( 15 x 747 ) / 3735

= 15 / 747

= 15

So, Greatest Common Divisor of 705, 765, 747 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 705, 765, 747

Given numbers are 705, 765, 747
The greatest common divisor of numbers 705, 765, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 765, 747 is 3.

FAQs on GCD of 705, 765, 747 Calculator

1. What is the GCD of 705, 765, 747?

GCD of given numbers 705, 765, 747 is 3

2. How to calculate the greatest common divisor of 705, 765, 747?

We can find the highest common divisor of 705, 765, 747 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, 765, 747 i.e 3.

3. How can I use the GCD of 705, 765, 747Calculator?

Out the numbers 705, 765, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.