GCD of 882, 435, 96, 717 Calculator

Given Input numbers are 882, 435, 96, 717

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

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 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

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 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 882, 435, 96, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 435, 96, 717 is 3.

Therefore, GCD of numbers 882, 435, 96, 717 is 3

Given Input Data is 882, 435, 96, 717

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

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

Prime Factorization of 435 is 3 x 5 x 29

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

Prime Factorization of 717 is 3 x 239

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(882, 435) = 127890

GCD(882, 435) = ( 882 x 435 ) / 127890

GCD(882, 435) = 383670 / 127890

GCD(882, 435) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 96

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

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

GCD(3, 96) = 288 / 96

GCD(3, 96) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 717

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

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

GCD(3, 717) = 2151 / 717

GCD(3, 717) = 3

GCD of 882, 435, 96, 717 is 3

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1. What is the GCD of 882, 435, 96, 717?

GCD of 882, 435, 96, 717 is 3

2. Where do I get the detailed procedure to find GCD of 882, 435, 96, 717?

You can find a detailed procedure to find GCD of 882, 435, 96, 717 on our page.

3. How to find GCD of 882, 435, 96, 717 on a calculator?

You can find the GCD of 882, 435, 96, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.