GCD of 348, 901, 284, 416 Calculator

Given Input numbers are 348, 901, 284, 416

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 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 348, 901, 284, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 901, 284, 416 is 1.

Therefore, GCD of numbers 348, 901, 284, 416 is 1

Given Input Data is 348, 901, 284, 416

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 901 is 17 x 53

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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(348, 901) = 313548

GCD(348, 901) = ( 348 x 901 ) / 313548

GCD(348, 901) = 313548 / 313548

GCD(348, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 348, 901, 284, 416 is 1

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1. What is the GCD of 348, 901, 284, 416?

GCD of 348, 901, 284, 416 is 1

2. Where do I get the detailed procedure to find GCD of 348, 901, 284, 416?

You can find a detailed procedure to find GCD of 348, 901, 284, 416 on our page.

3. How to find GCD of 348, 901, 284, 416 on a calculator?

You can find the GCD of 348, 901, 284, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.