GCD of 112, 695, 41, 208 Calculator

Given Input numbers are 112, 695, 41, 208

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 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 112, 695, 41, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 695, 41, 208 is 1.

Therefore, GCD of numbers 112, 695, 41, 208 is 1

Given Input Data is 112, 695, 41, 208

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 695 is 5 x 139

Prime Factorization of 41 is 41

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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, 695) = 77840

GCD(112, 695) = ( 112 x 695 ) / 77840

GCD(112, 695) = 77840 / 77840

GCD(112, 695) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 112, 695, 41, 208 is 1

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1. What is the GCD of 112, 695, 41, 208?

GCD of 112, 695, 41, 208 is 1

2. Where do I get the detailed procedure to find GCD of 112, 695, 41, 208?

You can find a detailed procedure to find GCD of 112, 695, 41, 208 on our page.

3. How to find GCD of 112, 695, 41, 208 on a calculator?

You can find the GCD of 112, 695, 41, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.