GCD of 272, 975, 561, 193 Calculator

Given Input numbers are 272, 975, 561, 193

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Greatest Common Divisior

We found the divisors of 272, 975, 561, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 975, 561, 193 is 1.

Therefore, GCD of numbers 272, 975, 561, 193 is 1

Given Input Data is 272, 975, 561, 193

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 193 is 193

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(272, 975) = 265200

GCD(272, 975) = ( 272 x 975 ) / 265200

GCD(272, 975) = 265200 / 265200

GCD(272, 975) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 193

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

LCM(1, 193) = 193

GCD(1, 193) = ( 1 x 193 ) / 193

GCD(1, 193) = 193 / 193

GCD(1, 193) = 1

GCD of 272, 975, 561, 193 is 1

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1. What is the GCD of 272, 975, 561, 193?

GCD of 272, 975, 561, 193 is 1

2. Where do I get the detailed procedure to find GCD of 272, 975, 561, 193?

You can find a detailed procedure to find GCD of 272, 975, 561, 193 on our page.

3. How to find GCD of 272, 975, 561, 193 on a calculator?

You can find the GCD of 272, 975, 561, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.