GCD of 472, 219, 892, 467 Calculator

Given Input numbers are 472, 219, 892, 467

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 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

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 472, 219, 892, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 219, 892, 467 is 1.

Therefore, GCD of numbers 472, 219, 892, 467 is 1

Given Input Data is 472, 219, 892, 467

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 219 is 3 x 73

Prime Factorization of 892 is 2 x 2 x 223

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(472, 219) = 103368

GCD(472, 219) = ( 472 x 219 ) / 103368

GCD(472, 219) = 103368 / 103368

GCD(472, 219) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 467

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

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

GCD(1, 467) = 467 / 467

GCD(1, 467) = 1

GCD of 472, 219, 892, 467 is 1

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1. What is the GCD of 472, 219, 892, 467?

GCD of 472, 219, 892, 467 is 1

2. Where do I get the detailed procedure to find GCD of 472, 219, 892, 467?

You can find a detailed procedure to find GCD of 472, 219, 892, 467 on our page.

3. How to find GCD of 472, 219, 892, 467 on a calculator?

You can find the GCD of 472, 219, 892, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.