GCD of 679, 249, 882, 225 Calculator

Given Input numbers are 679, 249, 882, 225

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

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 679, 249, 882, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 249, 882, 225 is 1.

Therefore, GCD of numbers 679, 249, 882, 225 is 1

Given Input Data is 679, 249, 882, 225

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

Prime Factorization of 679 is 7 x 97

Prime Factorization of 249 is 3 x 83

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(679, 249) = 169071

GCD(679, 249) = ( 679 x 249 ) / 169071

GCD(679, 249) = 169071 / 169071

GCD(679, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 679, 249, 882, 225 is 1

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1. What is the GCD of 679, 249, 882, 225?

GCD of 679, 249, 882, 225 is 1

2. Where do I get the detailed procedure to find GCD of 679, 249, 882, 225?

You can find a detailed procedure to find GCD of 679, 249, 882, 225 on our page.

3. How to find GCD of 679, 249, 882, 225 on a calculator?

You can find the GCD of 679, 249, 882, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.