GCD of 676, 104, 67, 255 Calculator

Given Input numbers are 676, 104, 67, 255

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 676, 104, 67, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 104, 67, 255 is 1.

Therefore, GCD of numbers 676, 104, 67, 255 is 1

Given Input Data is 676, 104, 67, 255

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

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

Prime Factorization of 67 is 67

Prime Factorization of 255 is 3 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(676, 104) = 1352

GCD(676, 104) = ( 676 x 104 ) / 1352

GCD(676, 104) = 70304 / 1352

GCD(676, 104) = 52

Step2:

Here we consider the GCD from the above i.e. 52 as first number and the next as 67

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

LCM(52, 67) = 3484

GCD(52, 67) = ( 52 x 67 ) / 3484

GCD(52, 67) = 3484 / 3484

GCD(52, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 676, 104, 67, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 899, 90, 160
• GCD of 111, 523, 81, 373
• GCD of 549, 797, 23, 556
• GCD of 995, 953, 81, 171
• GCD of 226, 469, 61, 227

1. What is the GCD of 676, 104, 67, 255?

GCD of 676, 104, 67, 255 is 1

2. Where do I get the detailed procedure to find GCD of 676, 104, 67, 255?

You can find a detailed procedure to find GCD of 676, 104, 67, 255 on our page.

3. How to find GCD of 676, 104, 67, 255 on a calculator?

You can find the GCD of 676, 104, 67, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.