GCD of 553, 194, 338, 575 Calculator

Given Input numbers are 553, 194, 338, 575

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 553, 194, 338, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 194, 338, 575 is 1.

Therefore, GCD of numbers 553, 194, 338, 575 is 1

Given Input Data is 553, 194, 338, 575

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 194 is 2 x 97

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 575 is 5 x 5 x 23

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(553, 194) = 107282

GCD(553, 194) = ( 553 x 194 ) / 107282

GCD(553, 194) = 107282 / 107282

GCD(553, 194) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 575

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

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

GCD(1, 575) = 575 / 575

GCD(1, 575) = 1

GCD of 553, 194, 338, 575 is 1

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• GCD of 773, 789, 500, 227
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1. What is the GCD of 553, 194, 338, 575?

GCD of 553, 194, 338, 575 is 1

2. Where do I get the detailed procedure to find GCD of 553, 194, 338, 575?

You can find a detailed procedure to find GCD of 553, 194, 338, 575 on our page.

3. How to find GCD of 553, 194, 338, 575 on a calculator?

You can find the GCD of 553, 194, 338, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.