GCD of 86, 125, 208, 340 Calculator

Given Input numbers are 86, 125, 208, 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 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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, 125, 208, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 125, 208, 340 is 1.

Therefore, GCD of numbers 86, 125, 208, 340 is 1

Given Input Data is 86, 125, 208, 340

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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, 125) = 10750

GCD(86, 125) = ( 86 x 125 ) / 10750

GCD(86, 125) = 10750 / 10750

GCD(86, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 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, 125, 208, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 880, 145, 912
• GCD of 51, 729, 493, 943
• GCD of 18, 899, 414, 746
• GCD of 84, 742, 894, 505
• GCD of 50, 338, 729, 844

1. What is the GCD of 86, 125, 208, 340?

GCD of 86, 125, 208, 340 is 1

2. Where do I get the detailed procedure to find GCD of 86, 125, 208, 340?

You can find a detailed procedure to find GCD of 86, 125, 208, 340 on our page.

3. How to find GCD of 86, 125, 208, 340 on a calculator?

You can find the GCD of 86, 125, 208, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.