GCD of 112, 826, 25, 767 Calculator

Given Input numbers are 112, 826, 25, 767

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 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 112, 826, 25, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 826, 25, 767 is 1.

Therefore, GCD of numbers 112, 826, 25, 767 is 1

Given Input Data is 112, 826, 25, 767

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 826 is 2 x 7 x 59

Prime Factorization of 25 is 5 x 5

Prime Factorization of 767 is 13 x 59

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, 826) = 6608

GCD(112, 826) = ( 112 x 826 ) / 6608

GCD(112, 826) = 92512 / 6608

GCD(112, 826) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 25

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

LCM(14, 25) = 350

GCD(14, 25) = ( 14 x 25 ) / 350

GCD(14, 25) = 350 / 350

GCD(14, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

GCD of 112, 826, 25, 767 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 197, 20, 132
• GCD of 861, 830, 85, 711
• GCD of 263, 903, 82, 828
• GCD of 554, 355, 85, 752
• GCD of 771, 119, 24, 379

1. What is the GCD of 112, 826, 25, 767?

GCD of 112, 826, 25, 767 is 1

2. Where do I get the detailed procedure to find GCD of 112, 826, 25, 767?

You can find a detailed procedure to find GCD of 112, 826, 25, 767 on our page.

3. How to find GCD of 112, 826, 25, 767 on a calculator?

You can find the GCD of 112, 826, 25, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.