GCD of 273, 698, 48 Calculator

Given Input numbers are 273, 698, 48

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

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Greatest Common Divisior

We found the divisors of 273, 698, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 698, 48 is 1.

Therefore, GCD of numbers 273, 698, 48 is 1

Given Input Data is 273, 698, 48

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 698 is 2 x 349

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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(273, 698) = 190554

GCD(273, 698) = ( 273 x 698 ) / 190554

GCD(273, 698) = 190554 / 190554

GCD(273, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

GCD of 273, 698, 48 is 1

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1. What is the GCD of 273, 698, 48?

GCD of 273, 698, 48 is 1

2. Where do I get the detailed procedure to find GCD of 273, 698, 48?

You can find a detailed procedure to find GCD of 273, 698, 48 on our page.

3. How to find GCD of 273, 698, 48 on a calculator?

You can find the GCD of 273, 698, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.