GCD of 86, 236, 405, 340 Calculator

Given Input numbers are 86, 236, 405, 340

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 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 86, 236, 405, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 236, 405, 340 is 1.

Therefore, GCD of numbers 86, 236, 405, 340 is 1

Given Input Data is 86, 236, 405, 340

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 340 is 2 x 2 x 5 x 17

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, 236) = 10148

GCD(86, 236) = ( 86 x 236 ) / 10148

GCD(86, 236) = 20296 / 10148

GCD(86, 236) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 405

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

LCM(2, 405) = 810

GCD(2, 405) = ( 2 x 405 ) / 810

GCD(2, 405) = 810 / 810

GCD(2, 405) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 86, 236, 405, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 109, 434, 628
• GCD of 90, 122, 979, 900
• GCD of 67, 415, 513, 712
• GCD of 14, 720, 328, 872
• GCD of 66, 337, 899, 216

1. What is the GCD of 86, 236, 405, 340?

GCD of 86, 236, 405, 340 is 1

2. Where do I get the detailed procedure to find GCD of 86, 236, 405, 340?

You can find a detailed procedure to find GCD of 86, 236, 405, 340 on our page.

3. How to find GCD of 86, 236, 405, 340 on a calculator?

You can find the GCD of 86, 236, 405, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.