GCD of 882, 655, 46, 174 Calculator

Given Input numbers are 882, 655, 46, 174

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

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 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 174

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

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

Greatest Common Divisior

We found the divisors of 882, 655, 46, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 655, 46, 174 is 1.

Therefore, GCD of numbers 882, 655, 46, 174 is 1

Given Input Data is 882, 655, 46, 174

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

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

Prime Factorization of 655 is 5 x 131

Prime Factorization of 46 is 2 x 23

Prime Factorization of 174 is 2 x 3 x 29

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(882, 655) = 577710

GCD(882, 655) = ( 882 x 655 ) / 577710

GCD(882, 655) = 577710 / 577710

GCD(882, 655) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 882, 655, 46, 174 is 1

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1. What is the GCD of 882, 655, 46, 174?

GCD of 882, 655, 46, 174 is 1

2. Where do I get the detailed procedure to find GCD of 882, 655, 46, 174?

You can find a detailed procedure to find GCD of 882, 655, 46, 174 on our page.

3. How to find GCD of 882, 655, 46, 174 on a calculator?

You can find the GCD of 882, 655, 46, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.