GCD of 103, 158, 76, 998 Calculator

Given Input numbers are 103, 158, 76, 998

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 103, 158, 76, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 158, 76, 998 is 1.

Therefore, GCD of numbers 103, 158, 76, 998 is 1

Given Input Data is 103, 158, 76, 998

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

Prime Factorization of 103 is 103

Prime Factorization of 158 is 2 x 79

Prime Factorization of 76 is 2 x 2 x 19

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(103, 158) = 16274

GCD(103, 158) = ( 103 x 158 ) / 16274

GCD(103, 158) = 16274 / 16274

GCD(103, 158) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 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 103, 158, 76, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 526, 12, 831
• GCD of 728, 380, 81, 871
• GCD of 512, 744, 52, 635
• GCD of 280, 362, 50, 501
• GCD of 930, 699, 63, 616

1. What is the GCD of 103, 158, 76, 998?

GCD of 103, 158, 76, 998 is 1

2. Where do I get the detailed procedure to find GCD of 103, 158, 76, 998?

You can find a detailed procedure to find GCD of 103, 158, 76, 998 on our page.

3. How to find GCD of 103, 158, 76, 998 on a calculator?

You can find the GCD of 103, 158, 76, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.