GCD of 356, 319, 54, 178 Calculator

Given Input numbers are 356, 319, 54, 178

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

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 356, 319, 54, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 319, 54, 178 is 1.

Therefore, GCD of numbers 356, 319, 54, 178 is 1

Given Input Data is 356, 319, 54, 178

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 319 is 11 x 29

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(356, 319) = 113564

GCD(356, 319) = ( 356 x 319 ) / 113564

GCD(356, 319) = 113564 / 113564

GCD(356, 319) = 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 356, 319, 54, 178 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 440, 63, 532
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• GCD of 886, 572, 54, 194

1. What is the GCD of 356, 319, 54, 178?

GCD of 356, 319, 54, 178 is 1

2. Where do I get the detailed procedure to find GCD of 356, 319, 54, 178?

You can find a detailed procedure to find GCD of 356, 319, 54, 178 on our page.

3. How to find GCD of 356, 319, 54, 178 on a calculator?

You can find the GCD of 356, 319, 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.