GCD of 406, 716, 546, 480 Calculator

Given Input numbers are 406, 716, 546, 480

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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 406, 716, 546, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 716, 546, 480 is 2.

Therefore, GCD of numbers 406, 716, 546, 480 is 2

Given Input Data is 406, 716, 546, 480

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 546 is 2 x 3 x 7 x 13

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(406, 716) = 145348

GCD(406, 716) = ( 406 x 716 ) / 145348

GCD(406, 716) = 290696 / 145348

GCD(406, 716) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 546

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

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

GCD(2, 546) = 1092 / 546

GCD(2, 546) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

GCD of 406, 716, 546, 480 is 2

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1. What is the GCD of 406, 716, 546, 480?

GCD of 406, 716, 546, 480 is 2

2. Where do I get the detailed procedure to find GCD of 406, 716, 546, 480?

You can find a detailed procedure to find GCD of 406, 716, 546, 480 on our page.

3. How to find GCD of 406, 716, 546, 480 on a calculator?

You can find the GCD of 406, 716, 546, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.