GCD of 116, 406, 86, 701 Calculator

Given Input numbers are 116, 406, 86, 701

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 86

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

1, 2, 43, 86

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Greatest Common Divisior

We found the divisors of 116, 406, 86, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 406, 86, 701 is 1.

Therefore, GCD of numbers 116, 406, 86, 701 is 1

Given Input Data is 116, 406, 86, 701

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 86 is 2 x 43

Prime Factorization of 701 is 701

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(116, 406) = 812

GCD(116, 406) = ( 116 x 406 ) / 812

GCD(116, 406) = 47096 / 812

GCD(116, 406) = 58

Step2:

Here we consider the GCD from the above i.e. 58 as first number and the next as 86

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

LCM(58, 86) = 2494

GCD(58, 86) = ( 58 x 86 ) / 2494

GCD(58, 86) = 4988 / 2494

GCD(58, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 701

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

LCM(2, 701) = 1402

GCD(2, 701) = ( 2 x 701 ) / 1402

GCD(2, 701) = 1402 / 1402

GCD(2, 701) = 1

GCD of 116, 406, 86, 701 is 1

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1. What is the GCD of 116, 406, 86, 701?

GCD of 116, 406, 86, 701 is 1

2. Where do I get the detailed procedure to find GCD of 116, 406, 86, 701?

You can find a detailed procedure to find GCD of 116, 406, 86, 701 on our page.

3. How to find GCD of 116, 406, 86, 701 on a calculator?

You can find the GCD of 116, 406, 86, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.