GCD of 74, 178, 384, 467 Calculator

Given Input numbers are 74, 178, 384, 467

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 178

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

1, 2, 89, 178

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 74, 178, 384, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 178, 384, 467 is 1.

Therefore, GCD of numbers 74, 178, 384, 467 is 1

Given Input Data is 74, 178, 384, 467

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 178 is 2 x 89

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 467 is 467

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(74, 178) = 6586

GCD(74, 178) = ( 74 x 178 ) / 6586

GCD(74, 178) = 13172 / 6586

GCD(74, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 384

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

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

GCD(2, 384) = 768 / 384

GCD(2, 384) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 467

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

LCM(2, 467) = 934

GCD(2, 467) = ( 2 x 467 ) / 934

GCD(2, 467) = 934 / 934

GCD(2, 467) = 1

GCD of 74, 178, 384, 467 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 292, 809, 575
• GCD of 23, 984, 969, 234
• GCD of 78, 110, 872, 146
• GCD of 78, 956, 175, 925
• GCD of 12, 626, 840, 670

1. What is the GCD of 74, 178, 384, 467?

GCD of 74, 178, 384, 467 is 1

2. Where do I get the detailed procedure to find GCD of 74, 178, 384, 467?

You can find a detailed procedure to find GCD of 74, 178, 384, 467 on our page.

3. How to find GCD of 74, 178, 384, 467 on a calculator?

You can find the GCD of 74, 178, 384, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.