GCD of 493, 753, 549, 902 Calculator

Given Input numbers are 493, 753, 549, 902

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 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 493, 753, 549, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 753, 549, 902 is 1.

Therefore, GCD of numbers 493, 753, 549, 902 is 1

Given Input Data is 493, 753, 549, 902

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 753 is 3 x 251

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 902 is 2 x 11 x 41

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, 753) = 371229

GCD(493, 753) = ( 493 x 753 ) / 371229

GCD(493, 753) = 371229 / 371229

GCD(493, 753) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 493, 753, 549, 902 is 1

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1. What is the GCD of 493, 753, 549, 902?

GCD of 493, 753, 549, 902 is 1

2. Where do I get the detailed procedure to find GCD of 493, 753, 549, 902?

You can find a detailed procedure to find GCD of 493, 753, 549, 902 on our page.

3. How to find GCD of 493, 753, 549, 902 on a calculator?

You can find the GCD of 493, 753, 549, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.