GCD of 325, 109, 32, 882 Calculator

Given Input numbers are 325, 109, 32, 882

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

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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

Greatest Common Divisior

We found the divisors of 325, 109, 32, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 109, 32, 882 is 1.

Therefore, GCD of numbers 325, 109, 32, 882 is 1

Given Input Data is 325, 109, 32, 882

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

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 109 is 109

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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

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(325, 109) = 35425

GCD(325, 109) = ( 325 x 109 ) / 35425

GCD(325, 109) = 35425 / 35425

GCD(325, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

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

GCD of 325, 109, 32, 882 is 1

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1. What is the GCD of 325, 109, 32, 882?

GCD of 325, 109, 32, 882 is 1

2. Where do I get the detailed procedure to find GCD of 325, 109, 32, 882?

You can find a detailed procedure to find GCD of 325, 109, 32, 882 on our page.

3. How to find GCD of 325, 109, 32, 882 on a calculator?

You can find the GCD of 325, 109, 32, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.