GCD of 882, 628, 73, 634 Calculator

Given Input numbers are 882, 628, 73, 634

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 882, 628, 73, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 628, 73, 634 is 1.

Therefore, GCD of numbers 882, 628, 73, 634 is 1

Given Input Data is 882, 628, 73, 634

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 628 is 2 x 2 x 157

Prime Factorization of 73 is 73

Prime Factorization of 634 is 2 x 317

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, 628) = 276948

GCD(882, 628) = ( 882 x 628 ) / 276948

GCD(882, 628) = 553896 / 276948

GCD(882, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 634

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

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

GCD(1, 634) = 634 / 634

GCD(1, 634) = 1

GCD of 882, 628, 73, 634 is 1

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1. What is the GCD of 882, 628, 73, 634?

GCD of 882, 628, 73, 634 is 1

2. Where do I get the detailed procedure to find GCD of 882, 628, 73, 634?

You can find a detailed procedure to find GCD of 882, 628, 73, 634 on our page.

3. How to find GCD of 882, 628, 73, 634 on a calculator?

You can find the GCD of 882, 628, 73, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.