GCD of 198, 626, 177, 528 Calculator

Given Input numbers are 198, 626, 177, 528

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

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 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 198, 626, 177, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 626, 177, 528 is 1.

Therefore, GCD of numbers 198, 626, 177, 528 is 1

Given Input Data is 198, 626, 177, 528

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

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

Prime Factorization of 626 is 2 x 313

Prime Factorization of 177 is 3 x 59

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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(198, 626) = 61974

GCD(198, 626) = ( 198 x 626 ) / 61974

GCD(198, 626) = 123948 / 61974

GCD(198, 626) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 177

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

LCM(2, 177) = 354

GCD(2, 177) = ( 2 x 177 ) / 354

GCD(2, 177) = 354 / 354

GCD(2, 177) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 198, 626, 177, 528 is 1

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1. What is the GCD of 198, 626, 177, 528?

GCD of 198, 626, 177, 528 is 1

2. Where do I get the detailed procedure to find GCD of 198, 626, 177, 528?

You can find a detailed procedure to find GCD of 198, 626, 177, 528 on our page.

3. How to find GCD of 198, 626, 177, 528 on a calculator?

You can find the GCD of 198, 626, 177, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.