GCD of 86, 404, 400, 686 Calculator

Given Input numbers are 86, 404, 400, 686

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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 86, 404, 400, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 404, 400, 686 is 2.

Therefore, GCD of numbers 86, 404, 400, 686 is 2

Given Input Data is 86, 404, 400, 686

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 686 is 2 x 7 x 7 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 404) = 17372

GCD(86, 404) = ( 86 x 404 ) / 17372

GCD(86, 404) = 34744 / 17372

GCD(86, 404) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 400

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

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

GCD(2, 400) = 800 / 400

GCD(2, 400) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 686

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

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

GCD(2, 686) = 1372 / 686

GCD(2, 686) = 2

GCD of 86, 404, 400, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 921, 995, 522
• GCD of 78, 103, 176, 198
• GCD of 86, 991, 864, 406
• GCD of 40, 636, 825, 857
• GCD of 56, 874, 349, 925

1. What is the GCD of 86, 404, 400, 686?

GCD of 86, 404, 400, 686 is 2

2. Where do I get the detailed procedure to find GCD of 86, 404, 400, 686?

You can find a detailed procedure to find GCD of 86, 404, 400, 686 on our page.

3. How to find GCD of 86, 404, 400, 686 on a calculator?

You can find the GCD of 86, 404, 400, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.