GCD of 496, 580, 206, 462 Calculator

Given Input numbers are 496, 580, 206, 462

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 496, 580, 206, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 580, 206, 462 is 2.

Therefore, GCD of numbers 496, 580, 206, 462 is 2

Given Input Data is 496, 580, 206, 462

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 206 is 2 x 103

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(496, 580) = 71920

GCD(496, 580) = ( 496 x 580 ) / 71920

GCD(496, 580) = 287680 / 71920

GCD(496, 580) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 206

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

LCM(4, 206) = 412

GCD(4, 206) = ( 4 x 206 ) / 412

GCD(4, 206) = 824 / 412

GCD(4, 206) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 462

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

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

GCD(2, 462) = 924 / 462

GCD(2, 462) = 2

GCD of 496, 580, 206, 462 is 2

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• GCD of 244, 329, 809, 864
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• GCD of 688, 497, 458, 270

1. What is the GCD of 496, 580, 206, 462?

GCD of 496, 580, 206, 462 is 2

2. Where do I get the detailed procedure to find GCD of 496, 580, 206, 462?

You can find a detailed procedure to find GCD of 496, 580, 206, 462 on our page.

3. How to find GCD of 496, 580, 206, 462 on a calculator?

You can find the GCD of 496, 580, 206, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.