GCD of 112, 931, 15, 790 Calculator

Given Input numbers are 112, 931, 15, 790

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 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 112, 931, 15, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 931, 15, 790 is 1.

Therefore, GCD of numbers 112, 931, 15, 790 is 1

Given Input Data is 112, 931, 15, 790

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 931 is 7 x 7 x 19

Prime Factorization of 15 is 3 x 5

Prime Factorization of 790 is 2 x 5 x 79

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, 931) = 14896

GCD(112, 931) = ( 112 x 931 ) / 14896

GCD(112, 931) = 104272 / 14896

GCD(112, 931) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 15

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

LCM(7, 15) = 105

GCD(7, 15) = ( 7 x 15 ) / 105

GCD(7, 15) = 105 / 105

GCD(7, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

GCD of 112, 931, 15, 790 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 793, 56, 900
• GCD of 103, 552, 44, 810
• GCD of 484, 736, 99, 365
• GCD of 107, 564, 74, 335
• GCD of 740, 354, 62, 330

1. What is the GCD of 112, 931, 15, 790?

GCD of 112, 931, 15, 790 is 1

2. Where do I get the detailed procedure to find GCD of 112, 931, 15, 790?

You can find a detailed procedure to find GCD of 112, 931, 15, 790 on our page.

3. How to find GCD of 112, 931, 15, 790 on a calculator?

You can find the GCD of 112, 931, 15, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.