GCD of 42, 998, 178, 553 Calculator

Given Input numbers are 42, 998, 178, 553

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 998

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

1, 2, 499, 998

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 42, 998, 178, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 998, 178, 553 is 1.

Therefore, GCD of numbers 42, 998, 178, 553 is 1

Given Input Data is 42, 998, 178, 553

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 998 is 2 x 499

Prime Factorization of 178 is 2 x 89

Prime Factorization of 553 is 7 x 79

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(42, 998) = 20958

GCD(42, 998) = ( 42 x 998 ) / 20958

GCD(42, 998) = 41916 / 20958

GCD(42, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

GCD of 42, 998, 178, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 578, 771, 708
• GCD of 19, 586, 395, 772
• GCD of 64, 844, 684, 125
• GCD of 99, 157, 755, 635
• GCD of 64, 130, 683, 381

1. What is the GCD of 42, 998, 178, 553?

GCD of 42, 998, 178, 553 is 1

2. Where do I get the detailed procedure to find GCD of 42, 998, 178, 553?

You can find a detailed procedure to find GCD of 42, 998, 178, 553 on our page.

3. How to find GCD of 42, 998, 178, 553 on a calculator?

You can find the GCD of 42, 998, 178, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.