GCD of 112, 110, 862, 919 Calculator

Given Input numbers are 112, 110, 862, 919

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 112, 110, 862, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 110, 862, 919 is 1.

Therefore, GCD of numbers 112, 110, 862, 919 is 1

Given Input Data is 112, 110, 862, 919

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 110 is 2 x 5 x 11

Prime Factorization of 862 is 2 x 431

Prime Factorization of 919 is 919

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, 110) = 6160

GCD(112, 110) = ( 112 x 110 ) / 6160

GCD(112, 110) = 12320 / 6160

GCD(112, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 862

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

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

GCD(2, 862) = 1724 / 862

GCD(2, 862) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 919

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

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

GCD(2, 919) = 1838 / 1838

GCD(2, 919) = 1

GCD of 112, 110, 862, 919 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 720, 121, 332
• GCD of 703, 699, 435, 106
• GCD of 330, 483, 603, 630
• GCD of 114, 898, 902, 421
• GCD of 920, 740, 568, 647

1. What is the GCD of 112, 110, 862, 919?

GCD of 112, 110, 862, 919 is 1

2. Where do I get the detailed procedure to find GCD of 112, 110, 862, 919?

You can find a detailed procedure to find GCD of 112, 110, 862, 919 on our page.

3. How to find GCD of 112, 110, 862, 919 on a calculator?

You can find the GCD of 112, 110, 862, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.