GCD of 992, 608, 290, 502 Calculator

Given Input numbers are 992, 608, 290, 502

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 992, 608, 290, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 608, 290, 502 is 2.

Therefore, GCD of numbers 992, 608, 290, 502 is 2

Given Input Data is 992, 608, 290, 502

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 502 is 2 x 251

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(992, 608) = 18848

GCD(992, 608) = ( 992 x 608 ) / 18848

GCD(992, 608) = 603136 / 18848

GCD(992, 608) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 290

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

LCM(32, 290) = 4640

GCD(32, 290) = ( 32 x 290 ) / 4640

GCD(32, 290) = 9280 / 4640

GCD(32, 290) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 502

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

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

GCD(2, 502) = 1004 / 502

GCD(2, 502) = 2

GCD of 992, 608, 290, 502 is 2

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1. What is the GCD of 992, 608, 290, 502?

GCD of 992, 608, 290, 502 is 2

2. Where do I get the detailed procedure to find GCD of 992, 608, 290, 502?

You can find a detailed procedure to find GCD of 992, 608, 290, 502 on our page.

3. How to find GCD of 992, 608, 290, 502 on a calculator?

You can find the GCD of 992, 608, 290, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.