GCD of 656, 996, 169, 998 Calculator

Given Input numbers are 656, 996, 169, 998

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 656, 996, 169, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 996, 169, 998 is 1.

Therefore, GCD of numbers 656, 996, 169, 998 is 1

Given Input Data is 656, 996, 169, 998

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 169 is 13 x 13

Prime Factorization of 998 is 2 x 499

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(656, 996) = 163344

GCD(656, 996) = ( 656 x 996 ) / 163344

GCD(656, 996) = 653376 / 163344

GCD(656, 996) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 169

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

LCM(4, 169) = 676

GCD(4, 169) = ( 4 x 169 ) / 676

GCD(4, 169) = 676 / 676

GCD(4, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 656, 996, 169, 998 is 1

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1. What is the GCD of 656, 996, 169, 998?

GCD of 656, 996, 169, 998 is 1

2. Where do I get the detailed procedure to find GCD of 656, 996, 169, 998?

You can find a detailed procedure to find GCD of 656, 996, 169, 998 on our page.

3. How to find GCD of 656, 996, 169, 998 on a calculator?

You can find the GCD of 656, 996, 169, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.