GCD of 586, 278, 76, 476 Calculator

Given Input numbers are 586, 278, 76, 476

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

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 586, 278, 76, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 278, 76, 476 is 2.

Therefore, GCD of numbers 586, 278, 76, 476 is 2

Given Input Data is 586, 278, 76, 476

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 278 is 2 x 139

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 476 is 2 x 2 x 7 x 17

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(586, 278) = 81454

GCD(586, 278) = ( 586 x 278 ) / 81454

GCD(586, 278) = 162908 / 81454

GCD(586, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 476

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

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

GCD(2, 476) = 952 / 476

GCD(2, 476) = 2

GCD of 586, 278, 76, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 857, 37, 827
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• GCD of 105, 309, 99, 164

1. What is the GCD of 586, 278, 76, 476?

GCD of 586, 278, 76, 476 is 2

2. Where do I get the detailed procedure to find GCD of 586, 278, 76, 476?

You can find a detailed procedure to find GCD of 586, 278, 76, 476 on our page.

3. How to find GCD of 586, 278, 76, 476 on a calculator?

You can find the GCD of 586, 278, 76, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.