GCD of 696, 713, 859, 112 Calculator

Given Input numbers are 696, 713, 859, 112

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

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

Greatest Common Divisior

We found the divisors of 696, 713, 859, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 713, 859, 112 is 1.

Therefore, GCD of numbers 696, 713, 859, 112 is 1

Given Input Data is 696, 713, 859, 112

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 713 is 23 x 31

Prime Factorization of 859 is 859

Prime Factorization of 112 is 2 x 2 x 2 x 2 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(696, 713) = 496248

GCD(696, 713) = ( 696 x 713 ) / 496248

GCD(696, 713) = 496248 / 496248

GCD(696, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 696, 713, 859, 112 is 1

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1. What is the GCD of 696, 713, 859, 112?

GCD of 696, 713, 859, 112 is 1

2. Where do I get the detailed procedure to find GCD of 696, 713, 859, 112?

You can find a detailed procedure to find GCD of 696, 713, 859, 112 on our page.

3. How to find GCD of 696, 713, 859, 112 on a calculator?

You can find the GCD of 696, 713, 859, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.