GCD of 466, 585, 546, 349 Calculator

Given Input numbers are 466, 585, 546, 349

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

Divisors of 466

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

1, 2, 233, 466

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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 466, 585, 546, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 585, 546, 349 is 1.

Therefore, GCD of numbers 466, 585, 546, 349 is 1

Given Input Data is 466, 585, 546, 349

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 546 is 2 x 3 x 7 x 13

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(466, 585) = 272610

GCD(466, 585) = ( 466 x 585 ) / 272610

GCD(466, 585) = 272610 / 272610

GCD(466, 585) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 466, 585, 546, 349 is 1

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1. What is the GCD of 466, 585, 546, 349?

GCD of 466, 585, 546, 349 is 1

2. Where do I get the detailed procedure to find GCD of 466, 585, 546, 349?

You can find a detailed procedure to find GCD of 466, 585, 546, 349 on our page.

3. How to find GCD of 466, 585, 546, 349 on a calculator?

You can find the GCD of 466, 585, 546, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.