GCD of 506, 748, 376, 334 Calculator

Given Input numbers are 506, 748, 376, 334

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 506, 748, 376, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 748, 376, 334 is 2.

Therefore, GCD of numbers 506, 748, 376, 334 is 2

Given Input Data is 506, 748, 376, 334

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 748 is 2 x 2 x 11 x 17

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

Prime Factorization of 334 is 2 x 167

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(506, 748) = 17204

GCD(506, 748) = ( 506 x 748 ) / 17204

GCD(506, 748) = 378488 / 17204

GCD(506, 748) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 376

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

LCM(22, 376) = 4136

GCD(22, 376) = ( 22 x 376 ) / 4136

GCD(22, 376) = 8272 / 4136

GCD(22, 376) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

GCD of 506, 748, 376, 334 is 2

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• GCD of 540, 450, 923, 881
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1. What is the GCD of 506, 748, 376, 334?

GCD of 506, 748, 376, 334 is 2

2. Where do I get the detailed procedure to find GCD of 506, 748, 376, 334?

You can find a detailed procedure to find GCD of 506, 748, 376, 334 on our page.

3. How to find GCD of 506, 748, 376, 334 on a calculator?

You can find the GCD of 506, 748, 376, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.