GCD of 998, 704, 88, 143 Calculator

Given Input numbers are 998, 704, 88, 143

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 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 998, 704, 88, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 704, 88, 143 is 1.

Therefore, GCD of numbers 998, 704, 88, 143 is 1

Given Input Data is 998, 704, 88, 143

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 143 is 11 x 13

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, 704) = 351296

GCD(998, 704) = ( 998 x 704 ) / 351296

GCD(998, 704) = 702592 / 351296

GCD(998, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 143

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

LCM(2, 143) = 286

GCD(2, 143) = ( 2 x 143 ) / 286

GCD(2, 143) = 286 / 286

GCD(2, 143) = 1

GCD of 998, 704, 88, 143 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 469, 408, 38, 813
• GCD of 567, 868, 30, 510
• GCD of 100, 171, 57, 211
• GCD of 424, 431, 15, 267
• GCD of 467, 304, 82, 306

1. What is the GCD of 998, 704, 88, 143?

GCD of 998, 704, 88, 143 is 1

2. Where do I get the detailed procedure to find GCD of 998, 704, 88, 143?

You can find a detailed procedure to find GCD of 998, 704, 88, 143 on our page.

3. How to find GCD of 998, 704, 88, 143 on a calculator?

You can find the GCD of 998, 704, 88, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.