Where do I get the detailed procedure to find GCD of 714, 314, 274?

You can find a detailed procedure to find GCD of 714, 314, 274 on our page.

How to find GCD of 714, 314, 274 on a calculator?

You can find the GCD of 714, 314, 274 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 714, 314, 274 Calculator

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

Online GCD Calculator is useful to find the GCD of 714, 314, 274 quickly. Get the easiest ways to solve the greatest common divisor of 714, 314, 274 i.e 2 in different methods as follows.

How to Find GCD of Numbers 714, 314, 274 with Factoring?

Given Input numbers are 714, 314, 274

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

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 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (714, 314, 274) = 2.

Find GCD of 714, 314, 274 using Prime Factorization

Given numbers are 714, 314, 274

The list of prime factors of all numbers are

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

Prime factors of 314 are 2 x 157

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 714, 314, 274 is 2.

Steps to Calculate GCD of 714, 314, 274 using LCM Formula

Given numbers are 714, 314, 274

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

Apply this formula for all numbers.

Step1:

LCM(714, 314) = 112098

GCD(714, 314) = ( 714 x 314 ) / 112098

= 714 / 314

= 714

Step2:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

So, Greatest Common Divisor of 714, 314, 274 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 714, 314, 274

Given numbers are 714, 314, 274
The greatest common divisor of numbers 714, 314, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 314, 274 is 2.

FAQs on GCD of 714, 314, 274 Calculator

1. What is the GCD of 714, 314, 274?

GCD of given numbers 714, 314, 274 is 2

2. How to calculate the greatest common divisor of 714, 314, 274?

We can find the highest common divisor of 714, 314, 274 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 714, 314, 274 i.e 2.

3. How can I use the GCD of 714, 314, 274Calculator?

Out the numbers 714, 314, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.