GCD of 304, 964, 11, 677 Calculator

Given Input numbers are 304, 964, 11, 677

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

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 304, 964, 11, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 964, 11, 677 is 1.

Therefore, GCD of numbers 304, 964, 11, 677 is 1

Given Input Data is 304, 964, 11, 677

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

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 11 is 11

Prime Factorization of 677 is 677

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(304, 964) = 73264

GCD(304, 964) = ( 304 x 964 ) / 73264

GCD(304, 964) = 293056 / 73264

GCD(304, 964) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 11

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

LCM(4, 11) = 44

GCD(4, 11) = ( 4 x 11 ) / 44

GCD(4, 11) = 44 / 44

GCD(4, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 304, 964, 11, 677 is 1

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1. What is the GCD of 304, 964, 11, 677?

GCD of 304, 964, 11, 677 is 1

2. Where do I get the detailed procedure to find GCD of 304, 964, 11, 677?

You can find a detailed procedure to find GCD of 304, 964, 11, 677 on our page.

3. How to find GCD of 304, 964, 11, 677 on a calculator?

You can find the GCD of 304, 964, 11, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.