GCD of 294, 648, 882, 639 Calculator

Given Input numbers are 294, 648, 882, 639

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Greatest Common Divisior

We found the divisors of 294, 648, 882, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 648, 882, 639 is 3.

Therefore, GCD of numbers 294, 648, 882, 639 is 3

Given Input Data is 294, 648, 882, 639

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Prime Factorization of 639 is 3 x 3 x 71

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(294, 648) = 31752

GCD(294, 648) = ( 294 x 648 ) / 31752

GCD(294, 648) = 190512 / 31752

GCD(294, 648) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 882

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

LCM(6, 882) = 882

GCD(6, 882) = ( 6 x 882 ) / 882

GCD(6, 882) = 5292 / 882

GCD(6, 882) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 639

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

LCM(6, 639) = 1278

GCD(6, 639) = ( 6 x 639 ) / 1278

GCD(6, 639) = 3834 / 1278

GCD(6, 639) = 3

GCD of 294, 648, 882, 639 is 3

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1. What is the GCD of 294, 648, 882, 639?

GCD of 294, 648, 882, 639 is 3

2. Where do I get the detailed procedure to find GCD of 294, 648, 882, 639?

You can find a detailed procedure to find GCD of 294, 648, 882, 639 on our page.

3. How to find GCD of 294, 648, 882, 639 on a calculator?

You can find the GCD of 294, 648, 882, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.