Where do I get the detailed procedure to find GCD of 108, 450, 714?

You can find a detailed procedure to find GCD of 108, 450, 714 on our page.

How to find GCD of 108, 450, 714 on a calculator?

You can find the GCD of 108, 450, 714 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 108, 450, 714 Calculator

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

Online GCD Calculator is useful to find the GCD of 108, 450, 714 quickly. Get the easiest ways to solve the greatest common divisor of 108, 450, 714 i.e 6 in different methods as follows.

How to Find GCD of Numbers 108, 450, 714 with Factoring?

Given Input numbers are 108, 450, 714

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (108, 450, 714) = 6.

Find GCD of 108, 450, 714 using Prime Factorization

Given numbers are 108, 450, 714

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 108, 450, 714 is 6.

Steps to Calculate GCD of 108, 450, 714 using LCM Formula

Given numbers are 108, 450, 714

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

Apply this formula for all numbers.

Step1:

LCM(108, 450) = 2700

GCD(108, 450) = ( 108 x 450 ) / 2700

= 108 / 450

= 108

Step2:

LCM(18, 714) = 2142

GCD(18, 714) = ( 18 x 714 ) / 2142

= 18 / 714

= 18

So, Greatest Common Divisor of 108, 450, 714 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 108, 450, 714

Given numbers are 108, 450, 714
The greatest common divisor of numbers 108, 450, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 450, 714 is 6.

FAQs on GCD of 108, 450, 714 Calculator

1. What is the GCD of 108, 450, 714?

GCD of given numbers 108, 450, 714 is 6

2. How to calculate the greatest common divisor of 108, 450, 714?

We can find the highest common divisor of 108, 450, 714 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 108, 450, 714 i.e 6.

3. How can I use the GCD of 108, 450, 714Calculator?

Out the numbers 108, 450, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.