GCD of 112, 889, 26, 875 Calculator

Given Input numbers are 112, 889, 26, 875

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 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 112, 889, 26, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 889, 26, 875 is 1.

Therefore, GCD of numbers 112, 889, 26, 875 is 1

Given Input Data is 112, 889, 26, 875

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 889 is 7 x 127

Prime Factorization of 26 is 2 x 13

Prime Factorization of 875 is 5 x 5 x 5 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, 889) = 14224

GCD(112, 889) = ( 112 x 889 ) / 14224

GCD(112, 889) = 99568 / 14224

GCD(112, 889) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 26

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

LCM(7, 26) = 182

GCD(7, 26) = ( 7 x 26 ) / 182

GCD(7, 26) = 182 / 182

GCD(7, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

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

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

GCD of 112, 889, 26, 875 is 1

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1. What is the GCD of 112, 889, 26, 875?

GCD of 112, 889, 26, 875 is 1

2. Where do I get the detailed procedure to find GCD of 112, 889, 26, 875?

You can find a detailed procedure to find GCD of 112, 889, 26, 875 on our page.

3. How to find GCD of 112, 889, 26, 875 on a calculator?

You can find the GCD of 112, 889, 26, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.