GCD of 331, 704, 54, 178 Calculator

Given Input numbers are 331, 704, 54, 178

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 331, 704, 54, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 704, 54, 178 is 1.

Therefore, GCD of numbers 331, 704, 54, 178 is 1

Given Input Data is 331, 704, 54, 178

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

Prime Factorization of 331 is 331

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 178 is 2 x 89

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(331, 704) = 233024

GCD(331, 704) = ( 331 x 704 ) / 233024

GCD(331, 704) = 233024 / 233024

GCD(331, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

GCD of 331, 704, 54, 178 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 547, 88, 639
• GCD of 794, 866, 11, 231
• GCD of 812, 278, 80, 786
• GCD of 272, 653, 46, 947
• GCD of 142, 811, 54, 520

1. What is the GCD of 331, 704, 54, 178?

GCD of 331, 704, 54, 178 is 1

2. Where do I get the detailed procedure to find GCD of 331, 704, 54, 178?

You can find a detailed procedure to find GCD of 331, 704, 54, 178 on our page.

3. How to find GCD of 331, 704, 54, 178 on a calculator?

You can find the GCD of 331, 704, 54, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.