Where do I get the detailed procedure to find GCD of 702, 906, 867?

You can find a detailed procedure to find GCD of 702, 906, 867 on our page.

How to find GCD of 702, 906, 867 on a calculator?

You can find the GCD of 702, 906, 867 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 702, 906, 867 Calculator

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

Online GCD Calculator is useful to find the GCD of 702, 906, 867 quickly. Get the easiest ways to solve the greatest common divisor of 702, 906, 867 i.e 3 in different methods as follows.

How to Find GCD of Numbers 702, 906, 867 with Factoring?

Given Input numbers are 702, 906, 867

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (702, 906, 867) = 3.

Find GCD of 702, 906, 867 using Prime Factorization

Given numbers are 702, 906, 867

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 906 are 2 x 3 x 151

Prime factors of 867 are 3 x 17 x 17

The highest common occurrence is 3¹

Therefore, GCD of 702, 906, 867 is 3.

Steps to Calculate GCD of 702, 906, 867 using LCM Formula

Given numbers are 702, 906, 867

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

Apply this formula for all numbers.

Step1:

LCM(702, 906) = 106002

GCD(702, 906) = ( 702 x 906 ) / 106002

= 702 / 906

= 702

Step2:

LCM(6, 867) = 1734

GCD(6, 867) = ( 6 x 867 ) / 1734

= 6 / 867

= 6

So, Greatest Common Divisor of 702, 906, 867 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 702, 906, 867

Given numbers are 702, 906, 867
The greatest common divisor of numbers 702, 906, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 906, 867 is 3.

FAQs on GCD of 702, 906, 867 Calculator

1. What is the GCD of 702, 906, 867?

GCD of given numbers 702, 906, 867 is 3

2. How to calculate the greatest common divisor of 702, 906, 867?

We can find the highest common divisor of 702, 906, 867 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 702, 906, 867 i.e 3.

3. How can I use the GCD of 702, 906, 867Calculator?

Out the numbers 702, 906, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.