GCD of 136, 914, 113, 892 Calculator

Given Input numbers are 136, 914, 113, 892

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 136, 914, 113, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 914, 113, 892 is 1.

Therefore, GCD of numbers 136, 914, 113, 892 is 1

Given Input Data is 136, 914, 113, 892

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 914 is 2 x 457

Prime Factorization of 113 is 113

Prime Factorization of 892 is 2 x 2 x 223

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(136, 914) = 62152

GCD(136, 914) = ( 136 x 914 ) / 62152

GCD(136, 914) = 124304 / 62152

GCD(136, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 113

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

LCM(2, 113) = 226

GCD(2, 113) = ( 2 x 113 ) / 226

GCD(2, 113) = 226 / 226

GCD(2, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 136, 914, 113, 892 is 1

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1. What is the GCD of 136, 914, 113, 892?

GCD of 136, 914, 113, 892 is 1

2. Where do I get the detailed procedure to find GCD of 136, 914, 113, 892?

You can find a detailed procedure to find GCD of 136, 914, 113, 892 on our page.

3. How to find GCD of 136, 914, 113, 892 on a calculator?

You can find the GCD of 136, 914, 113, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.