GCD of 557, 398, 131, 733 Calculator

Given Input numbers are 557, 398, 131, 733

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 557, 398, 131, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 398, 131, 733 is 1.

Therefore, GCD of numbers 557, 398, 131, 733 is 1

Given Input Data is 557, 398, 131, 733

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

Prime Factorization of 557 is 557

Prime Factorization of 398 is 2 x 199

Prime Factorization of 131 is 131

Prime Factorization of 733 is 733

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(557, 398) = 221686

GCD(557, 398) = ( 557 x 398 ) / 221686

GCD(557, 398) = 221686 / 221686

GCD(557, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

GCD of 557, 398, 131, 733 is 1

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1. What is the GCD of 557, 398, 131, 733?

GCD of 557, 398, 131, 733 is 1

2. Where do I get the detailed procedure to find GCD of 557, 398, 131, 733?

You can find a detailed procedure to find GCD of 557, 398, 131, 733 on our page.

3. How to find GCD of 557, 398, 131, 733 on a calculator?

You can find the GCD of 557, 398, 131, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.