GCD of 86, 713, 994, 178 Calculator

Given Input numbers are 86, 713, 994, 178

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 713

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

1, 23, 31, 713

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 86, 713, 994, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 713, 994, 178 is 1.

Therefore, GCD of numbers 86, 713, 994, 178 is 1

Given Input Data is 86, 713, 994, 178

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 713 is 23 x 31

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 178 is 2 x 89

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(86, 713) = 61318

GCD(86, 713) = ( 86 x 713 ) / 61318

GCD(86, 713) = 61318 / 61318

GCD(86, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

GCD of 86, 713, 994, 178 is 1

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1. What is the GCD of 86, 713, 994, 178?

GCD of 86, 713, 994, 178 is 1

2. Where do I get the detailed procedure to find GCD of 86, 713, 994, 178?

You can find a detailed procedure to find GCD of 86, 713, 994, 178 on our page.

3. How to find GCD of 86, 713, 994, 178 on a calculator?

You can find the GCD of 86, 713, 994, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.