GCD of 348, 316, 494, 906 Calculator

Given Input numbers are 348, 316, 494, 906

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 348, 316, 494, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 316, 494, 906 is 2.

Therefore, GCD of numbers 348, 316, 494, 906 is 2

Given Input Data is 348, 316, 494, 906

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 906 is 2 x 3 x 151

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(348, 316) = 27492

GCD(348, 316) = ( 348 x 316 ) / 27492

GCD(348, 316) = 109968 / 27492

GCD(348, 316) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 494

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

LCM(4, 494) = 988

GCD(4, 494) = ( 4 x 494 ) / 988

GCD(4, 494) = 1976 / 988

GCD(4, 494) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 906

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

LCM(2, 906) = 906

GCD(2, 906) = ( 2 x 906 ) / 906

GCD(2, 906) = 1812 / 906

GCD(2, 906) = 2

GCD of 348, 316, 494, 906 is 2

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1. What is the GCD of 348, 316, 494, 906?

GCD of 348, 316, 494, 906 is 2

2. Where do I get the detailed procedure to find GCD of 348, 316, 494, 906?

You can find a detailed procedure to find GCD of 348, 316, 494, 906 on our page.

3. How to find GCD of 348, 316, 494, 906 on a calculator?

You can find the GCD of 348, 316, 494, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.