GCD of 446, 992, 21, 560 Calculator

Given Input numbers are 446, 992, 21, 560

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 446, 992, 21, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 992, 21, 560 is 1.

Therefore, GCD of numbers 446, 992, 21, 560 is 1

Given Input Data is 446, 992, 21, 560

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 21 is 3 x 7

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(446, 992) = 221216

GCD(446, 992) = ( 446 x 992 ) / 221216

GCD(446, 992) = 442432 / 221216

GCD(446, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 446, 992, 21, 560 is 1

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• GCD of 144, 416, 89, 844

1. What is the GCD of 446, 992, 21, 560?

GCD of 446, 992, 21, 560 is 1

2. Where do I get the detailed procedure to find GCD of 446, 992, 21, 560?

You can find a detailed procedure to find GCD of 446, 992, 21, 560 on our page.

3. How to find GCD of 446, 992, 21, 560 on a calculator?

You can find the GCD of 446, 992, 21, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.