GCD of 158, 732, 452, 998 Calculator

Given Input numbers are 158, 732, 452, 998

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

Divisors of 158

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

1, 2, 79, 158

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

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 158, 732, 452, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 732, 452, 998 is 2.

Therefore, GCD of numbers 158, 732, 452, 998 is 2

Given Input Data is 158, 732, 452, 998

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

Prime Factorization of 158 is 2 x 79

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 452 is 2 x 2 x 113

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(158, 732) = 57828

GCD(158, 732) = ( 158 x 732 ) / 57828

GCD(158, 732) = 115656 / 57828

GCD(158, 732) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 452

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

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

GCD(2, 452) = 904 / 452

GCD(2, 452) = 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 158, 732, 452, 998 is 2

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1. What is the GCD of 158, 732, 452, 998?

GCD of 158, 732, 452, 998 is 2

2. Where do I get the detailed procedure to find GCD of 158, 732, 452, 998?

You can find a detailed procedure to find GCD of 158, 732, 452, 998 on our page.

3. How to find GCD of 158, 732, 452, 998 on a calculator?

You can find the GCD of 158, 732, 452, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.