GCD of 384, 858, 81, 690 Calculator

Given Input numbers are 384, 858, 81, 690

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 384, 858, 81, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 858, 81, 690 is 3.

Therefore, GCD of numbers 384, 858, 81, 690 is 3

Given Input Data is 384, 858, 81, 690

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(384, 858) = 54912

GCD(384, 858) = ( 384 x 858 ) / 54912

GCD(384, 858) = 329472 / 54912

GCD(384, 858) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 81

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

LCM(6, 81) = 162

GCD(6, 81) = ( 6 x 81 ) / 162

GCD(6, 81) = 486 / 162

GCD(6, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 690

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

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

GCD(3, 690) = 2070 / 690

GCD(3, 690) = 3

GCD of 384, 858, 81, 690 is 3

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• GCD of 274, 492, 48, 971
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1. What is the GCD of 384, 858, 81, 690?

GCD of 384, 858, 81, 690 is 3

2. Where do I get the detailed procedure to find GCD of 384, 858, 81, 690?

You can find a detailed procedure to find GCD of 384, 858, 81, 690 on our page.

3. How to find GCD of 384, 858, 81, 690 on a calculator?

You can find the GCD of 384, 858, 81, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.