GCD of 676, 967, 205, 304 Calculator

Given Input numbers are 676, 967, 205, 304

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 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 676, 967, 205, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 967, 205, 304 is 1.

Therefore, GCD of numbers 676, 967, 205, 304 is 1

Given Input Data is 676, 967, 205, 304

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 967 is 967

Prime Factorization of 205 is 5 x 41

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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, 967) = 653692

GCD(676, 967) = ( 676 x 967 ) / 653692

GCD(676, 967) = 653692 / 653692

GCD(676, 967) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 676, 967, 205, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 502, 165, 216
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• GCD of 528, 760, 616, 655
• GCD of 230, 741, 163, 730
• GCD of 930, 259, 797, 867

1. What is the GCD of 676, 967, 205, 304?

GCD of 676, 967, 205, 304 is 1

2. Where do I get the detailed procedure to find GCD of 676, 967, 205, 304?

You can find a detailed procedure to find GCD of 676, 967, 205, 304 on our page.

3. How to find GCD of 676, 967, 205, 304 on a calculator?

You can find the GCD of 676, 967, 205, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.