GCD of 142, 998, 24, 849 Calculator

Given Input numbers are 142, 998, 24, 849

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 998

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

1, 2, 499, 998

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 142, 998, 24, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 998, 24, 849 is 1.

Therefore, GCD of numbers 142, 998, 24, 849 is 1

Given Input Data is 142, 998, 24, 849

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 998 is 2 x 499

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 849 is 3 x 283

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(142, 998) = 70858

GCD(142, 998) = ( 142 x 998 ) / 70858

GCD(142, 998) = 141716 / 70858

GCD(142, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 849

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

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

GCD(2, 849) = 1698 / 1698

GCD(2, 849) = 1

GCD of 142, 998, 24, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 681, 78, 651
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• GCD of 882, 192, 57, 995
• GCD of 883, 347, 82, 717

1. What is the GCD of 142, 998, 24, 849?

GCD of 142, 998, 24, 849 is 1

2. Where do I get the detailed procedure to find GCD of 142, 998, 24, 849?

You can find a detailed procedure to find GCD of 142, 998, 24, 849 on our page.

3. How to find GCD of 142, 998, 24, 849 on a calculator?

You can find the GCD of 142, 998, 24, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.