GCD of 47, 121, 674, 304 Calculator

Given Input numbers are 47, 121, 674, 304

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

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 47, 121, 674, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 121, 674, 304 is 1.

Therefore, GCD of numbers 47, 121, 674, 304 is 1

Given Input Data is 47, 121, 674, 304

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

Prime Factorization of 47 is 47

Prime Factorization of 121 is 11 x 11

Prime Factorization of 674 is 2 x 337

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(47, 121) = 5687

GCD(47, 121) = ( 47 x 121 ) / 5687

GCD(47, 121) = 5687 / 5687

GCD(47, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 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 47, 121, 674, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 302, 843, 845
• GCD of 74, 592, 446, 419
• GCD of 23, 754, 728, 935
• GCD of 81, 301, 564, 124
• GCD of 78, 617, 602, 735

1. What is the GCD of 47, 121, 674, 304?

GCD of 47, 121, 674, 304 is 1

2. Where do I get the detailed procedure to find GCD of 47, 121, 674, 304?

You can find a detailed procedure to find GCD of 47, 121, 674, 304 on our page.

3. How to find GCD of 47, 121, 674, 304 on a calculator?

You can find the GCD of 47, 121, 674, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.