GCD of 538, 277, 696, 238 Calculator

Given Input numbers are 538, 277, 696, 238

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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 538, 277, 696, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 277, 696, 238 is 1.

Therefore, GCD of numbers 538, 277, 696, 238 is 1

Given Input Data is 538, 277, 696, 238

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 277 is 277

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 238 is 2 x 7 x 17

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(538, 277) = 149026

GCD(538, 277) = ( 538 x 277 ) / 149026

GCD(538, 277) = 149026 / 149026

GCD(538, 277) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 538, 277, 696, 238 is 1

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1. What is the GCD of 538, 277, 696, 238?

GCD of 538, 277, 696, 238 is 1

2. Where do I get the detailed procedure to find GCD of 538, 277, 696, 238?

You can find a detailed procedure to find GCD of 538, 277, 696, 238 on our page.

3. How to find GCD of 538, 277, 696, 238 on a calculator?

You can find the GCD of 538, 277, 696, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.