GCD of 54, 353, 968, 304 Calculator

Given Input numbers are 54, 353, 968, 304

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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 54, 353, 968, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 353, 968, 304 is 1.

Therefore, GCD of numbers 54, 353, 968, 304 is 1

Given Input Data is 54, 353, 968, 304

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 353 is 353

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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(54, 353) = 19062

GCD(54, 353) = ( 54 x 353 ) / 19062

GCD(54, 353) = 19062 / 19062

GCD(54, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 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 54, 353, 968, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 312, 735, 387
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• GCD of 23, 513, 443, 433
• GCD of 62, 715, 152, 402

1. What is the GCD of 54, 353, 968, 304?

GCD of 54, 353, 968, 304 is 1

2. Where do I get the detailed procedure to find GCD of 54, 353, 968, 304?

You can find a detailed procedure to find GCD of 54, 353, 968, 304 on our page.

3. How to find GCD of 54, 353, 968, 304 on a calculator?

You can find the GCD of 54, 353, 968, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.