GCD of 282, 960, 753, 417 Calculator

Given Input numbers are 282, 960, 753, 417

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

Divisors of 282

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

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 282, 960, 753, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 960, 753, 417 is 3.

Therefore, GCD of numbers 282, 960, 753, 417 is 3

Given Input Data is 282, 960, 753, 417

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 753 is 3 x 251

Prime Factorization of 417 is 3 x 139

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(282, 960) = 45120

GCD(282, 960) = ( 282 x 960 ) / 45120

GCD(282, 960) = 270720 / 45120

GCD(282, 960) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 753

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

LCM(6, 753) = 1506

GCD(6, 753) = ( 6 x 753 ) / 1506

GCD(6, 753) = 4518 / 1506

GCD(6, 753) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 417

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

LCM(3, 417) = 417

GCD(3, 417) = ( 3 x 417 ) / 417

GCD(3, 417) = 1251 / 417

GCD(3, 417) = 3

GCD of 282, 960, 753, 417 is 3

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1. What is the GCD of 282, 960, 753, 417?

GCD of 282, 960, 753, 417 is 3

2. Where do I get the detailed procedure to find GCD of 282, 960, 753, 417?

You can find a detailed procedure to find GCD of 282, 960, 753, 417 on our page.

3. How to find GCD of 282, 960, 753, 417 on a calculator?

You can find the GCD of 282, 960, 753, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.