GCD of 104, 329, 85, 208 Calculator

Given Input numbers are 104, 329, 85, 208

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

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

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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

Greatest Common Divisior

We found the divisors of 104, 329, 85, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 329, 85, 208 is 1.

Therefore, GCD of numbers 104, 329, 85, 208 is 1

Given Input Data is 104, 329, 85, 208

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 329 is 7 x 47

Prime Factorization of 85 is 5 x 17

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

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(104, 329) = 34216

GCD(104, 329) = ( 104 x 329 ) / 34216

GCD(104, 329) = 34216 / 34216

GCD(104, 329) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

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

GCD of 104, 329, 85, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 504, 67, 870
• GCD of 266, 858, 97, 517
• GCD of 347, 191, 96, 569
• GCD of 130, 583, 24, 209
• GCD of 258, 779, 40, 988

1. What is the GCD of 104, 329, 85, 208?

GCD of 104, 329, 85, 208 is 1

2. Where do I get the detailed procedure to find GCD of 104, 329, 85, 208?

You can find a detailed procedure to find GCD of 104, 329, 85, 208 on our page.

3. How to find GCD of 104, 329, 85, 208 on a calculator?

You can find the GCD of 104, 329, 85, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.