Where do I get the detailed procedure to find GCD of 494, 208, 948?

You can find a detailed procedure to find GCD of 494, 208, 948 on our page.

How to find GCD of 494, 208, 948 on a calculator?

You can find the GCD of 494, 208, 948 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 494, 208, 948 Calculator

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

Online GCD Calculator is useful to find the GCD of 494, 208, 948 quickly. Get the easiest ways to solve the greatest common divisor of 494, 208, 948 i.e 2 in different methods as follows.

How to Find GCD of Numbers 494, 208, 948 with Factoring?

Given Input numbers are 494, 208, 948

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (494, 208, 948) = 2.

Find GCD of 494, 208, 948 using Prime Factorization

Given numbers are 494, 208, 948

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 494, 208, 948 is 2.

Steps to Calculate GCD of 494, 208, 948 using LCM Formula

Given numbers are 494, 208, 948

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

Apply this formula for all numbers.

Step1:

LCM(494, 208) = 3952

GCD(494, 208) = ( 494 x 208 ) / 3952

= 494 / 208

= 494

Step2:

LCM(26, 948) = 12324

GCD(26, 948) = ( 26 x 948 ) / 12324

= 26 / 948

= 26

So, Greatest Common Divisor of 494, 208, 948 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 494, 208, 948

Given numbers are 494, 208, 948
The greatest common divisor of numbers 494, 208, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 208, 948 is 2.

FAQs on GCD of 494, 208, 948 Calculator

1. What is the GCD of 494, 208, 948?

GCD of given numbers 494, 208, 948 is 2

2. How to calculate the greatest common divisor of 494, 208, 948?

We can find the highest common divisor of 494, 208, 948 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 494, 208, 948 i.e 2.

3. How can I use the GCD of 494, 208, 948Calculator?

Out the numbers 494, 208, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.