GCD of 124, 656, 24, 994 Calculator

Given Input numbers are 124, 656, 24, 994

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

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 124, 656, 24, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 656, 24, 994 is 2.

Therefore, GCD of numbers 124, 656, 24, 994 is 2

Given Input Data is 124, 656, 24, 994

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

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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

Prime Factorization of 994 is 2 x 7 x 71

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(124, 656) = 20336

GCD(124, 656) = ( 124 x 656 ) / 20336

GCD(124, 656) = 81344 / 20336

GCD(124, 656) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 24

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

LCM(4, 24) = 24

GCD(4, 24) = ( 4 x 24 ) / 24

GCD(4, 24) = 96 / 24

GCD(4, 24) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 994

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

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

GCD(4, 994) = 3976 / 1988

GCD(4, 994) = 2

GCD of 124, 656, 24, 994 is 2

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• GCD of 272, 765, 79, 525
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• GCD of 264, 887, 26, 939
• GCD of 484, 966, 15, 422

1. What is the GCD of 124, 656, 24, 994?

GCD of 124, 656, 24, 994 is 2

2. Where do I get the detailed procedure to find GCD of 124, 656, 24, 994?

You can find a detailed procedure to find GCD of 124, 656, 24, 994 on our page.

3. How to find GCD of 124, 656, 24, 994 on a calculator?

You can find the GCD of 124, 656, 24, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.