GCD of 640, 998, 849, 908 Calculator

Given Input numbers are 640, 998, 849, 908

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 640, 998, 849, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 998, 849, 908 is 1.

Therefore, GCD of numbers 640, 998, 849, 908 is 1

Given Input Data is 640, 998, 849, 908

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 998 is 2 x 499

Prime Factorization of 849 is 3 x 283

Prime Factorization of 908 is 2 x 2 x 227

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(640, 998) = 319360

GCD(640, 998) = ( 640 x 998 ) / 319360

GCD(640, 998) = 638720 / 319360

GCD(640, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 849

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

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

GCD(2, 849) = 1698 / 1698

GCD(2, 849) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 640, 998, 849, 908 is 1

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1. What is the GCD of 640, 998, 849, 908?

GCD of 640, 998, 849, 908 is 1

2. Where do I get the detailed procedure to find GCD of 640, 998, 849, 908?

You can find a detailed procedure to find GCD of 640, 998, 849, 908 on our page.

3. How to find GCD of 640, 998, 849, 908 on a calculator?

You can find the GCD of 640, 998, 849, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.