GCD of 142, 344, 632, 998 Calculator

Given Input numbers are 142, 344, 632, 998

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

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 142, 344, 632, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 344, 632, 998 is 2.

Therefore, GCD of numbers 142, 344, 632, 998 is 2

Given Input Data is 142, 344, 632, 998

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 998 is 2 x 499

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 344) = 24424

GCD(142, 344) = ( 142 x 344 ) / 24424

GCD(142, 344) = 48848 / 24424

GCD(142, 344) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 998

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

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

GCD(2, 998) = 1996 / 998

GCD(2, 998) = 2

GCD of 142, 344, 632, 998 is 2

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1. What is the GCD of 142, 344, 632, 998?

GCD of 142, 344, 632, 998 is 2

2. Where do I get the detailed procedure to find GCD of 142, 344, 632, 998?

You can find a detailed procedure to find GCD of 142, 344, 632, 998 on our page.

3. How to find GCD of 142, 344, 632, 998 on a calculator?

You can find the GCD of 142, 344, 632, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.