GCD of 404, 480, 60, 357 Calculator

Given Input numbers are 404, 480, 60, 357

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 404, 480, 60, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 480, 60, 357 is 1.

Therefore, GCD of numbers 404, 480, 60, 357 is 1

Given Input Data is 404, 480, 60, 357

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 357 is 3 x 7 x 17

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(404, 480) = 48480

GCD(404, 480) = ( 404 x 480 ) / 48480

GCD(404, 480) = 193920 / 48480

GCD(404, 480) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 60

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

LCM(4, 60) = 60

GCD(4, 60) = ( 4 x 60 ) / 60

GCD(4, 60) = 240 / 60

GCD(4, 60) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 357

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

LCM(4, 357) = 1428

GCD(4, 357) = ( 4 x 357 ) / 1428

GCD(4, 357) = 1428 / 1428

GCD(4, 357) = 1

GCD of 404, 480, 60, 357 is 1

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1. What is the GCD of 404, 480, 60, 357?

GCD of 404, 480, 60, 357 is 1

2. Where do I get the detailed procedure to find GCD of 404, 480, 60, 357?

You can find a detailed procedure to find GCD of 404, 480, 60, 357 on our page.

3. How to find GCD of 404, 480, 60, 357 on a calculator?

You can find the GCD of 404, 480, 60, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.