GCD of 988, 608, 46, 209 Calculator

Given Input numbers are 988, 608, 46, 209

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 988, 608, 46, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 608, 46, 209 is 1.

Therefore, GCD of numbers 988, 608, 46, 209 is 1

Given Input Data is 988, 608, 46, 209

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 46 is 2 x 23

Prime Factorization of 209 is 11 x 19

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(988, 608) = 7904

GCD(988, 608) = ( 988 x 608 ) / 7904

GCD(988, 608) = 600704 / 7904

GCD(988, 608) = 76

Step2:

Here we consider the GCD from the above i.e. 76 as first number and the next as 46

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

LCM(76, 46) = 1748

GCD(76, 46) = ( 76 x 46 ) / 1748

GCD(76, 46) = 3496 / 1748

GCD(76, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

GCD of 988, 608, 46, 209 is 1

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1. What is the GCD of 988, 608, 46, 209?

GCD of 988, 608, 46, 209 is 1

2. Where do I get the detailed procedure to find GCD of 988, 608, 46, 209?

You can find a detailed procedure to find GCD of 988, 608, 46, 209 on our page.

3. How to find GCD of 988, 608, 46, 209 on a calculator?

You can find the GCD of 988, 608, 46, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.