GCD of 635, 198, 278, 552 Calculator

Given Input numbers are 635, 198, 278, 552

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

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 635, 198, 278, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 198, 278, 552 is 1.

Therefore, GCD of numbers 635, 198, 278, 552 is 1

Given Input Data is 635, 198, 278, 552

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

Prime Factorization of 635 is 5 x 127

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 552 is 2 x 2 x 2 x 3 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(635, 198) = 125730

GCD(635, 198) = ( 635 x 198 ) / 125730

GCD(635, 198) = 125730 / 125730

GCD(635, 198) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

GCD of 635, 198, 278, 552 is 1

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1. What is the GCD of 635, 198, 278, 552?

GCD of 635, 198, 278, 552 is 1

2. Where do I get the detailed procedure to find GCD of 635, 198, 278, 552?

You can find a detailed procedure to find GCD of 635, 198, 278, 552 on our page.

3. How to find GCD of 635, 198, 278, 552 on a calculator?

You can find the GCD of 635, 198, 278, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.