GCD of 998, 953, 174, 640 Calculator

Given Input numbers are 998, 953, 174, 640

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

Divisors of 998

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

1, 2, 499, 998

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

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

Greatest Common Divisior

We found the divisors of 998, 953, 174, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 953, 174, 640 is 1.

Therefore, GCD of numbers 998, 953, 174, 640 is 1

Given Input Data is 998, 953, 174, 640

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 953 is 953

Prime Factorization of 174 is 2 x 3 x 29

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

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(998, 953) = 951094

GCD(998, 953) = ( 998 x 953 ) / 951094

GCD(998, 953) = 951094 / 951094

GCD(998, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

GCD of 998, 953, 174, 640 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 317, 384, 318
• GCD of 452, 828, 682, 941
• GCD of 587, 287, 396, 977
• GCD of 244, 374, 577, 113
• GCD of 801, 248, 860, 888

1. What is the GCD of 998, 953, 174, 640?

GCD of 998, 953, 174, 640 is 1

2. Where do I get the detailed procedure to find GCD of 998, 953, 174, 640?

You can find a detailed procedure to find GCD of 998, 953, 174, 640 on our page.

3. How to find GCD of 998, 953, 174, 640 on a calculator?

You can find the GCD of 998, 953, 174, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.