GCD of 565, 335, 96, 194 Calculator

Given Input numbers are 565, 335, 96, 194

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

Divisors of 565

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

1, 5, 113, 565

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 565, 335, 96, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 335, 96, 194 is 1.

Therefore, GCD of numbers 565, 335, 96, 194 is 1

Given Input Data is 565, 335, 96, 194

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 335 is 5 x 67

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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(565, 335) = 37855

GCD(565, 335) = ( 565 x 335 ) / 37855

GCD(565, 335) = 189275 / 37855

GCD(565, 335) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 96

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

LCM(5, 96) = 480

GCD(5, 96) = ( 5 x 96 ) / 480

GCD(5, 96) = 480 / 480

GCD(5, 96) = 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 565, 335, 96, 194 is 1

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1. What is the GCD of 565, 335, 96, 194?

GCD of 565, 335, 96, 194 is 1

2. Where do I get the detailed procedure to find GCD of 565, 335, 96, 194?

You can find a detailed procedure to find GCD of 565, 335, 96, 194 on our page.

3. How to find GCD of 565, 335, 96, 194 on a calculator?

You can find the GCD of 565, 335, 96, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.