GCD of 532, 498, 276, 238 Calculator

Given Input numbers are 532, 498, 276, 238

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 532, 498, 276, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 498, 276, 238 is 2.

Therefore, GCD of numbers 532, 498, 276, 238 is 2

Given Input Data is 532, 498, 276, 238

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 238 is 2 x 7 x 17

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(532, 498) = 132468

GCD(532, 498) = ( 532 x 498 ) / 132468

GCD(532, 498) = 264936 / 132468

GCD(532, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 276

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

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

GCD(2, 276) = 552 / 276

GCD(2, 276) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 238

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

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

GCD(2, 238) = 476 / 238

GCD(2, 238) = 2

GCD of 532, 498, 276, 238 is 2

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1. What is the GCD of 532, 498, 276, 238?

GCD of 532, 498, 276, 238 is 2

2. Where do I get the detailed procedure to find GCD of 532, 498, 276, 238?

You can find a detailed procedure to find GCD of 532, 498, 276, 238 on our page.

3. How to find GCD of 532, 498, 276, 238 on a calculator?

You can find the GCD of 532, 498, 276, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.