GCD of 819, 648, 705 Calculator

Given Input numbers are 819, 648, 705

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 819, 648, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 648, 705 is 3.

Therefore, GCD of numbers 819, 648, 705 is 3

Given Input Data is 819, 648, 705

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

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

Prime Factorization of 705 is 3 x 5 x 47

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(819, 648) = 58968

GCD(819, 648) = ( 819 x 648 ) / 58968

GCD(819, 648) = 530712 / 58968

GCD(819, 648) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 705

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

LCM(9, 705) = 2115

GCD(9, 705) = ( 9 x 705 ) / 2115

GCD(9, 705) = 6345 / 2115

GCD(9, 705) = 3

GCD of 819, 648, 705 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 110, 705
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• GCD of 609, 494, 316
• GCD of 715, 217, 455
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1. What is the GCD of 819, 648, 705?

GCD of 819, 648, 705 is 3

2. Where do I get the detailed procedure to find GCD of 819, 648, 705?

You can find a detailed procedure to find GCD of 819, 648, 705 on our page.

3. How to find GCD of 819, 648, 705 on a calculator?

You can find the GCD of 819, 648, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.