GCD of 975, 480, 16, 404 Calculator

Given Input numbers are 975, 480, 16, 404

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 404

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

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 975, 480, 16, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 480, 16, 404 is 1.

Therefore, GCD of numbers 975, 480, 16, 404 is 1

Given Input Data is 975, 480, 16, 404

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 404 is 2 x 2 x 101

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(975, 480) = 31200

GCD(975, 480) = ( 975 x 480 ) / 31200

GCD(975, 480) = 468000 / 31200

GCD(975, 480) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 16

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

LCM(15, 16) = 240

GCD(15, 16) = ( 15 x 16 ) / 240

GCD(15, 16) = 240 / 240

GCD(15, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 975, 480, 16, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 696, 89, 888
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• GCD of 909, 820, 13, 833

1. What is the GCD of 975, 480, 16, 404?

GCD of 975, 480, 16, 404 is 1

2. Where do I get the detailed procedure to find GCD of 975, 480, 16, 404?

You can find a detailed procedure to find GCD of 975, 480, 16, 404 on our page.

3. How to find GCD of 975, 480, 16, 404 on a calculator?

You can find the GCD of 975, 480, 16, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.