GCD of 175, 198, 766, 444 Calculator

Given Input numbers are 175, 198, 766, 444

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

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 175, 198, 766, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 198, 766, 444 is 1.

Therefore, GCD of numbers 175, 198, 766, 444 is 1

Given Input Data is 175, 198, 766, 444

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

Prime Factorization of 175 is 5 x 5 x 7

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 444 is 2 x 2 x 3 x 37

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(175, 198) = 34650

GCD(175, 198) = ( 175 x 198 ) / 34650

GCD(175, 198) = 34650 / 34650

GCD(175, 198) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

GCD of 175, 198, 766, 444 is 1

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1. What is the GCD of 175, 198, 766, 444?

GCD of 175, 198, 766, 444 is 1

2. Where do I get the detailed procedure to find GCD of 175, 198, 766, 444?

You can find a detailed procedure to find GCD of 175, 198, 766, 444 on our page.

3. How to find GCD of 175, 198, 766, 444 on a calculator?

You can find the GCD of 175, 198, 766, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.