GCD of 705, 741, 396 Calculator

Given Input numbers are 705, 741, 396

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

Divisors of 705

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

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 705, 741, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 741, 396 is 3.

Therefore, GCD of numbers 705, 741, 396 is 3

Given Input Data is 705, 741, 396

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(705, 741) = 174135

GCD(705, 741) = ( 705 x 741 ) / 174135

GCD(705, 741) = 522405 / 174135

GCD(705, 741) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 396

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

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

GCD(3, 396) = 1188 / 396

GCD(3, 396) = 3

GCD of 705, 741, 396 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 805, 693
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1. What is the GCD of 705, 741, 396?

GCD of 705, 741, 396 is 3

2. Where do I get the detailed procedure to find GCD of 705, 741, 396?

You can find a detailed procedure to find GCD of 705, 741, 396 on our page.

3. How to find GCD of 705, 741, 396 on a calculator?

You can find the GCD of 705, 741, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.