GCD of 472, 280, 667, 178 Calculator

Given Input numbers are 472, 280, 667, 178

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

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 472, 280, 667, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 280, 667, 178 is 1.

Therefore, GCD of numbers 472, 280, 667, 178 is 1

Given Input Data is 472, 280, 667, 178

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 667 is 23 x 29

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(472, 280) = 16520

GCD(472, 280) = ( 472 x 280 ) / 16520

GCD(472, 280) = 132160 / 16520

GCD(472, 280) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 667

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

LCM(8, 667) = 5336

GCD(8, 667) = ( 8 x 667 ) / 5336

GCD(8, 667) = 5336 / 5336

GCD(8, 667) = 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 472, 280, 667, 178 is 1

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1. What is the GCD of 472, 280, 667, 178?

GCD of 472, 280, 667, 178 is 1

2. Where do I get the detailed procedure to find GCD of 472, 280, 667, 178?

You can find a detailed procedure to find GCD of 472, 280, 667, 178 on our page.

3. How to find GCD of 472, 280, 667, 178 on a calculator?

You can find the GCD of 472, 280, 667, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.