GCD of 557, 198, 275, 268 Calculator

Given Input numbers are 557, 198, 275, 268

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 557, 198, 275, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 198, 275, 268 is 1.

Therefore, GCD of numbers 557, 198, 275, 268 is 1

Given Input Data is 557, 198, 275, 268

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

Prime Factorization of 557 is 557

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 268 is 2 x 2 x 67

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, 198) = 110286

GCD(557, 198) = ( 557 x 198 ) / 110286

GCD(557, 198) = 110286 / 110286

GCD(557, 198) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 557, 198, 275, 268 is 1

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• GCD of 510, 429, 203, 567
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1. What is the GCD of 557, 198, 275, 268?

GCD of 557, 198, 275, 268 is 1

2. Where do I get the detailed procedure to find GCD of 557, 198, 275, 268?

You can find a detailed procedure to find GCD of 557, 198, 275, 268 on our page.

3. How to find GCD of 557, 198, 275, 268 on a calculator?

You can find the GCD of 557, 198, 275, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.