GCD of 294, 503, 537, 121 Calculator

Given Input numbers are 294, 503, 537, 121

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 537

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

1, 3, 179, 537

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 294, 503, 537, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 503, 537, 121 is 1.

Therefore, GCD of numbers 294, 503, 537, 121 is 1

Given Input Data is 294, 503, 537, 121

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 503 is 503

Prime Factorization of 537 is 3 x 179

Prime Factorization of 121 is 11 x 11

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(294, 503) = 147882

GCD(294, 503) = ( 294 x 503 ) / 147882

GCD(294, 503) = 147882 / 147882

GCD(294, 503) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 294, 503, 537, 121 is 1

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1. What is the GCD of 294, 503, 537, 121?

GCD of 294, 503, 537, 121 is 1

2. Where do I get the detailed procedure to find GCD of 294, 503, 537, 121?

You can find a detailed procedure to find GCD of 294, 503, 537, 121 on our page.

3. How to find GCD of 294, 503, 537, 121 on a calculator?

You can find the GCD of 294, 503, 537, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.