GCD of 537, 103, 33, 343 Calculator

Given Input numbers are 537, 103, 33, 343

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 537, 103, 33, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 103, 33, 343 is 1.

Therefore, GCD of numbers 537, 103, 33, 343 is 1

Given Input Data is 537, 103, 33, 343

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 103 is 103

Prime Factorization of 33 is 3 x 11

Prime Factorization of 343 is 7 x 7 x 7

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(537, 103) = 55311

GCD(537, 103) = ( 537 x 103 ) / 55311

GCD(537, 103) = 55311 / 55311

GCD(537, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 537, 103, 33, 343 is 1

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1. What is the GCD of 537, 103, 33, 343?

GCD of 537, 103, 33, 343 is 1

2. Where do I get the detailed procedure to find GCD of 537, 103, 33, 343?

You can find a detailed procedure to find GCD of 537, 103, 33, 343 on our page.

3. How to find GCD of 537, 103, 33, 343 on a calculator?

You can find the GCD of 537, 103, 33, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.