GCD of 112, 807, 30, 882 Calculator

Given Input numbers are 112, 807, 30, 882

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 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 112, 807, 30, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 807, 30, 882 is 1.

Therefore, GCD of numbers 112, 807, 30, 882 is 1

Given Input Data is 112, 807, 30, 882

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 807 is 3 x 269

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

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, 807) = 90384

GCD(112, 807) = ( 112 x 807 ) / 90384

GCD(112, 807) = 90384 / 90384

GCD(112, 807) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

GCD of 112, 807, 30, 882 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 475, 41, 891
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• GCD of 230, 151, 15, 354
• GCD of 456, 421, 77, 454
• GCD of 773, 875, 60, 720

1. What is the GCD of 112, 807, 30, 882?

GCD of 112, 807, 30, 882 is 1

2. Where do I get the detailed procedure to find GCD of 112, 807, 30, 882?

You can find a detailed procedure to find GCD of 112, 807, 30, 882 on our page.

3. How to find GCD of 112, 807, 30, 882 on a calculator?

You can find the GCD of 112, 807, 30, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.