Where do I get the detailed procedure to find GCD of 274, 678, 838?

You can find a detailed procedure to find GCD of 274, 678, 838 on our page.

How to find GCD of 274, 678, 838 on a calculator?

You can find the GCD of 274, 678, 838 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 274, 678, 838 Calculator

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

Online GCD Calculator is useful to find the GCD of 274, 678, 838 quickly. Get the easiest ways to solve the greatest common divisor of 274, 678, 838 i.e 2 in different methods as follows.

How to Find GCD of Numbers 274, 678, 838 with Factoring?

Given Input numbers are 274, 678, 838

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

Divisors of 274 :

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

1, 2, 137, 274

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (274, 678, 838) = 2.

Find GCD of 274, 678, 838 using Prime Factorization

Given numbers are 274, 678, 838

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 678 are 2 x 3 x 113

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 274, 678, 838 is 2.

Steps to Calculate GCD of 274, 678, 838 using LCM Formula

Given numbers are 274, 678, 838

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

Apply this formula for all numbers.

Step1:

LCM(274, 678) = 92886

GCD(274, 678) = ( 274 x 678 ) / 92886

= 274 / 678

= 274

Step2:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

So, Greatest Common Divisor of 274, 678, 838 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 274, 678, 838

Given numbers are 274, 678, 838
The greatest common divisor of numbers 274, 678, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 678, 838 is 2.

FAQs on GCD of 274, 678, 838 Calculator

1. What is the GCD of 274, 678, 838?

GCD of given numbers 274, 678, 838 is 2

2. How to calculate the greatest common divisor of 274, 678, 838?

We can find the highest common divisor of 274, 678, 838 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 274, 678, 838 i.e 2.

3. How can I use the GCD of 274, 678, 838Calculator?

Out the numbers 274, 678, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.