GCD of 532, 276, 241, 138 Calculator

Given Input numbers are 532, 276, 241, 138

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 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 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 532, 276, 241, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 276, 241, 138 is 1.

Therefore, GCD of numbers 532, 276, 241, 138 is 1

Given Input Data is 532, 276, 241, 138

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 276 is 2 x 2 x 3 x 23

Prime Factorization of 241 is 241

Prime Factorization of 138 is 2 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

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, 276) = 36708

GCD(532, 276) = ( 532 x 276 ) / 36708

GCD(532, 276) = 146832 / 36708

GCD(532, 276) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 241

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

LCM(4, 241) = 964

GCD(4, 241) = ( 4 x 241 ) / 964

GCD(4, 241) = 964 / 964

GCD(4, 241) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 532, 276, 241, 138 is 1

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1. What is the GCD of 532, 276, 241, 138?

GCD of 532, 276, 241, 138 is 1

2. Where do I get the detailed procedure to find GCD of 532, 276, 241, 138?

You can find a detailed procedure to find GCD of 532, 276, 241, 138 on our page.

3. How to find GCD of 532, 276, 241, 138 on a calculator?

You can find the GCD of 532, 276, 241, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.