GCD of 297, 565, 75, 194 Calculator

Given Input numbers are 297, 565, 75, 194

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 297, 565, 75, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 565, 75, 194 is 1.

Therefore, GCD of numbers 297, 565, 75, 194 is 1

Given Input Data is 297, 565, 75, 194

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 565 is 5 x 113

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 194 is 2 x 97

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(297, 565) = 167805

GCD(297, 565) = ( 297 x 565 ) / 167805

GCD(297, 565) = 167805 / 167805

GCD(297, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

GCD of 297, 565, 75, 194 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 459, 44, 224
• GCD of 595, 785, 30, 308
• GCD of 588, 315, 81, 997
• GCD of 920, 885, 59, 925
• GCD of 813, 623, 16, 190

1. What is the GCD of 297, 565, 75, 194?

GCD of 297, 565, 75, 194 is 1

2. Where do I get the detailed procedure to find GCD of 297, 565, 75, 194?

You can find a detailed procedure to find GCD of 297, 565, 75, 194 on our page.

3. How to find GCD of 297, 565, 75, 194 on a calculator?

You can find the GCD of 297, 565, 75, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.