GCD of 112, 571, 825, 981 Calculator

Given Input numbers are 112, 571, 825, 981

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

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 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 112, 571, 825, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 571, 825, 981 is 1.

Therefore, GCD of numbers 112, 571, 825, 981 is 1

Given Input Data is 112, 571, 825, 981

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

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

Prime Factorization of 571 is 571

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 981 is 3 x 3 x 109

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(112, 571) = 63952

GCD(112, 571) = ( 112 x 571 ) / 63952

GCD(112, 571) = 63952 / 63952

GCD(112, 571) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 112, 571, 825, 981 is 1

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1. What is the GCD of 112, 571, 825, 981?

GCD of 112, 571, 825, 981 is 1

2. Where do I get the detailed procedure to find GCD of 112, 571, 825, 981?

You can find a detailed procedure to find GCD of 112, 571, 825, 981 on our page.

3. How to find GCD of 112, 571, 825, 981 on a calculator?

You can find the GCD of 112, 571, 825, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.