GCD of 376, 574, 48, 424 Calculator

Given Input numbers are 376, 574, 48, 424

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 376, 574, 48, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 574, 48, 424 is 2.

Therefore, GCD of numbers 376, 574, 48, 424 is 2

Given Input Data is 376, 574, 48, 424

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(376, 574) = 107912

GCD(376, 574) = ( 376 x 574 ) / 107912

GCD(376, 574) = 215824 / 107912

GCD(376, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 424

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

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

GCD(2, 424) = 848 / 424

GCD(2, 424) = 2

GCD of 376, 574, 48, 424 is 2

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• GCD of 674, 272, 72, 610
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• GCD of 117, 772, 92, 440

1. What is the GCD of 376, 574, 48, 424?

GCD of 376, 574, 48, 424 is 2

2. Where do I get the detailed procedure to find GCD of 376, 574, 48, 424?

You can find a detailed procedure to find GCD of 376, 574, 48, 424 on our page.

3. How to find GCD of 376, 574, 48, 424 on a calculator?

You can find the GCD of 376, 574, 48, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.