GCD of 969, 396, 417, 576 Calculator

Given Input numbers are 969, 396, 417, 576

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

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

Divisors of 417

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

1, 3, 139, 417

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 969, 396, 417, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 396, 417, 576 is 3.

Therefore, GCD of numbers 969, 396, 417, 576 is 3

Given Input Data is 969, 396, 417, 576

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

Prime Factorization of 969 is 3 x 17 x 19

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

Prime Factorization of 417 is 3 x 139

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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(969, 396) = 127908

GCD(969, 396) = ( 969 x 396 ) / 127908

GCD(969, 396) = 383724 / 127908

GCD(969, 396) = 3

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 576

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

LCM(3, 576) = 576

GCD(3, 576) = ( 3 x 576 ) / 576

GCD(3, 576) = 1728 / 576

GCD(3, 576) = 3

GCD of 969, 396, 417, 576 is 3

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1. What is the GCD of 969, 396, 417, 576?

GCD of 969, 396, 417, 576 is 3

2. Where do I get the detailed procedure to find GCD of 969, 396, 417, 576?

You can find a detailed procedure to find GCD of 969, 396, 417, 576 on our page.

3. How to find GCD of 969, 396, 417, 576 on a calculator?

You can find the GCD of 969, 396, 417, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.