GCD of 208, 588, 416, 877 Calculator

Given Input numbers are 208, 588, 416, 877

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Greatest Common Divisior

We found the divisors of 208, 588, 416, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 588, 416, 877 is 1.

Therefore, GCD of numbers 208, 588, 416, 877 is 1

Given Input Data is 208, 588, 416, 877

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 877 is 877

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(208, 588) = 30576

GCD(208, 588) = ( 208 x 588 ) / 30576

GCD(208, 588) = 122304 / 30576

GCD(208, 588) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 416

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

LCM(4, 416) = 416

GCD(4, 416) = ( 4 x 416 ) / 416

GCD(4, 416) = 1664 / 416

GCD(4, 416) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 877

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

LCM(4, 877) = 3508

GCD(4, 877) = ( 4 x 877 ) / 3508

GCD(4, 877) = 3508 / 3508

GCD(4, 877) = 1

GCD of 208, 588, 416, 877 is 1

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1. What is the GCD of 208, 588, 416, 877?

GCD of 208, 588, 416, 877 is 1

2. Where do I get the detailed procedure to find GCD of 208, 588, 416, 877?

You can find a detailed procedure to find GCD of 208, 588, 416, 877 on our page.

3. How to find GCD of 208, 588, 416, 877 on a calculator?

You can find the GCD of 208, 588, 416, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.