GCD of 174, 882, 82, 755 Calculator

Given Input numbers are 174, 882, 82, 755

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

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 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 174, 882, 82, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 882, 82, 755 is 1.

Therefore, GCD of numbers 174, 882, 82, 755 is 1

Given Input Data is 174, 882, 82, 755

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

Prime Factorization of 174 is 2 x 3 x 29

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 755 is 5 x 151

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(174, 882) = 25578

GCD(174, 882) = ( 174 x 882 ) / 25578

GCD(174, 882) = 153468 / 25578

GCD(174, 882) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 82

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

LCM(6, 82) = 246

GCD(6, 82) = ( 6 x 82 ) / 246

GCD(6, 82) = 492 / 246

GCD(6, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 755

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

LCM(2, 755) = 1510

GCD(2, 755) = ( 2 x 755 ) / 1510

GCD(2, 755) = 1510 / 1510

GCD(2, 755) = 1

GCD of 174, 882, 82, 755 is 1

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1. What is the GCD of 174, 882, 82, 755?

GCD of 174, 882, 82, 755 is 1

2. Where do I get the detailed procedure to find GCD of 174, 882, 82, 755?

You can find a detailed procedure to find GCD of 174, 882, 82, 755 on our page.

3. How to find GCD of 174, 882, 82, 755 on a calculator?

You can find the GCD of 174, 882, 82, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.