GCD of 342, 466, 46, 349 Calculator

Given Input numbers are 342, 466, 46, 349

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 342, 466, 46, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 466, 46, 349 is 1.

Therefore, GCD of numbers 342, 466, 46, 349 is 1

Given Input Data is 342, 466, 46, 349

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 466 is 2 x 233

Prime Factorization of 46 is 2 x 23

Prime Factorization of 349 is 349

The above numbers do not have any common prime factor. So GCD is 1

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(342, 466) = 79686

GCD(342, 466) = ( 342 x 466 ) / 79686

GCD(342, 466) = 159372 / 79686

GCD(342, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 1

GCD of 342, 466, 46, 349 is 1

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• GCD of 754, 644, 64, 509
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1. What is the GCD of 342, 466, 46, 349?

GCD of 342, 466, 46, 349 is 1

2. Where do I get the detailed procedure to find GCD of 342, 466, 46, 349?

You can find a detailed procedure to find GCD of 342, 466, 46, 349 on our page.

3. How to find GCD of 342, 466, 46, 349 on a calculator?

You can find the GCD of 342, 466, 46, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.