GCD of 446, 821, 678, 480 Calculator

Given Input numbers are 446, 821, 678, 480

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 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

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

Greatest Common Divisior

We found the divisors of 446, 821, 678, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 821, 678, 480 is 1.

Therefore, GCD of numbers 446, 821, 678, 480 is 1

Given Input Data is 446, 821, 678, 480

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 821 is 821

Prime Factorization of 678 is 2 x 3 x 113

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

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, 821) = 366166

GCD(446, 821) = ( 446 x 821 ) / 366166

GCD(446, 821) = 366166 / 366166

GCD(446, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 446, 821, 678, 480 is 1

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1. What is the GCD of 446, 821, 678, 480?

GCD of 446, 821, 678, 480 is 1

2. Where do I get the detailed procedure to find GCD of 446, 821, 678, 480?

You can find a detailed procedure to find GCD of 446, 821, 678, 480 on our page.

3. How to find GCD of 446, 821, 678, 480 on a calculator?

You can find the GCD of 446, 821, 678, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.