GCD of 96, 693, 342, 282 Calculator

Given Input numbers are 96, 693, 342, 282

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 96, 693, 342, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 693, 342, 282 is 3.

Therefore, GCD of numbers 96, 693, 342, 282 is 3

Given Input Data is 96, 693, 342, 282

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 282 is 2 x 3 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(96, 693) = 22176

GCD(96, 693) = ( 96 x 693 ) / 22176

GCD(96, 693) = 66528 / 22176

GCD(96, 693) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 342

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

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

GCD(3, 342) = 1026 / 342

GCD(3, 342) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 282

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

LCM(3, 282) = 282

GCD(3, 282) = ( 3 x 282 ) / 282

GCD(3, 282) = 846 / 282

GCD(3, 282) = 3

GCD of 96, 693, 342, 282 is 3

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1. What is the GCD of 96, 693, 342, 282?

GCD of 96, 693, 342, 282 is 3

2. Where do I get the detailed procedure to find GCD of 96, 693, 342, 282?

You can find a detailed procedure to find GCD of 96, 693, 342, 282 on our page.

3. How to find GCD of 96, 693, 342, 282 on a calculator?

You can find the GCD of 96, 693, 342, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.