GCD of 561, 112, 14, 711 Calculator

Given Input numbers are 561, 112, 14, 711

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

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 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 14

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

1, 2, 7, 14

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 561, 112, 14, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 112, 14, 711 is 1.

Therefore, GCD of numbers 561, 112, 14, 711 is 1

Given Input Data is 561, 112, 14, 711

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 711 is 3 x 3 x 79

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(561, 112) = 62832

GCD(561, 112) = ( 561 x 112 ) / 62832

GCD(561, 112) = 62832 / 62832

GCD(561, 112) = 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 711

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

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

GCD(1, 711) = 711 / 711

GCD(1, 711) = 1

GCD of 561, 112, 14, 711 is 1

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1. What is the GCD of 561, 112, 14, 711?

GCD of 561, 112, 14, 711 is 1

2. Where do I get the detailed procedure to find GCD of 561, 112, 14, 711?

You can find a detailed procedure to find GCD of 561, 112, 14, 711 on our page.

3. How to find GCD of 561, 112, 14, 711 on a calculator?

You can find the GCD of 561, 112, 14, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.