Where do I get the detailed procedure to find GCD of 342, 714, 840?

You can find a detailed procedure to find GCD of 342, 714, 840 on our page.

How to find GCD of 342, 714, 840 on a calculator?

You can find the GCD of 342, 714, 840 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 342, 714, 840 Calculator

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

Online GCD Calculator is useful to find the GCD of 342, 714, 840 quickly. Get the easiest ways to solve the greatest common divisor of 342, 714, 840 i.e 6 in different methods as follows.

How to Find GCD of Numbers 342, 714, 840 with Factoring?

Given Input numbers are 342, 714, 840

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (342, 714, 840) = 6.

Find GCD of 342, 714, 840 using Prime Factorization

Given numbers are 342, 714, 840

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

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

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 342, 714, 840 is 6.

Steps to Calculate GCD of 342, 714, 840 using LCM Formula

Given numbers are 342, 714, 840

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

Apply this formula for all numbers.

Step1:

LCM(342, 714) = 40698

GCD(342, 714) = ( 342 x 714 ) / 40698

= 342 / 714

= 342

Step2:

LCM(6, 840) = 840

GCD(6, 840) = ( 6 x 840 ) / 840

= 6 / 840

= 6

So, Greatest Common Divisor of 342, 714, 840 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 342, 714, 840

Given numbers are 342, 714, 840
The greatest common divisor of numbers 342, 714, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 714, 840 is 6.

FAQs on GCD of 342, 714, 840 Calculator

1. What is the GCD of 342, 714, 840?

GCD of given numbers 342, 714, 840 is 6

2. How to calculate the greatest common divisor of 342, 714, 840?

We can find the highest common divisor of 342, 714, 840 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 342, 714, 840 i.e 6.

3. How can I use the GCD of 342, 714, 840Calculator?

Out the numbers 342, 714, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.