GCD of 493, 274, 147, 555 Calculator

Given Input numbers are 493, 274, 147, 555

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Greatest Common Divisior

We found the divisors of 493, 274, 147, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 274, 147, 555 is 1.

Therefore, GCD of numbers 493, 274, 147, 555 is 1

Given Input Data is 493, 274, 147, 555

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 274 is 2 x 137

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 555 is 3 x 5 x 37

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(493, 274) = 135082

GCD(493, 274) = ( 493 x 274 ) / 135082

GCD(493, 274) = 135082 / 135082

GCD(493, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 555

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

LCM(1, 555) = 555

GCD(1, 555) = ( 1 x 555 ) / 555

GCD(1, 555) = 555 / 555

GCD(1, 555) = 1

GCD of 493, 274, 147, 555 is 1

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1. What is the GCD of 493, 274, 147, 555?

GCD of 493, 274, 147, 555 is 1

2. Where do I get the detailed procedure to find GCD of 493, 274, 147, 555?

You can find a detailed procedure to find GCD of 493, 274, 147, 555 on our page.

3. How to find GCD of 493, 274, 147, 555 on a calculator?

You can find the GCD of 493, 274, 147, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.