GCD of 560, 121, 14, 192 Calculator

Given Input numbers are 560, 121, 14, 192

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Greatest Common Divisior

We found the divisors of 560, 121, 14, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 121, 14, 192 is 1.

Therefore, GCD of numbers 560, 121, 14, 192 is 1

Given Input Data is 560, 121, 14, 192

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 121 is 11 x 11

Prime Factorization of 14 is 2 x 7

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

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(560, 121) = 67760

GCD(560, 121) = ( 560 x 121 ) / 67760

GCD(560, 121) = 67760 / 67760

GCD(560, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 192

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

LCM(1, 192) = 192

GCD(1, 192) = ( 1 x 192 ) / 192

GCD(1, 192) = 192 / 192

GCD(1, 192) = 1

GCD of 560, 121, 14, 192 is 1

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1. What is the GCD of 560, 121, 14, 192?

GCD of 560, 121, 14, 192 is 1

2. Where do I get the detailed procedure to find GCD of 560, 121, 14, 192?

You can find a detailed procedure to find GCD of 560, 121, 14, 192 on our page.

3. How to find GCD of 560, 121, 14, 192 on a calculator?

You can find the GCD of 560, 121, 14, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.