GCD of 657, 576, 48, 834 Calculator

Given Input numbers are 657, 576, 48, 834

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 657, 576, 48, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 576, 48, 834 is 3.

Therefore, GCD of numbers 657, 576, 48, 834 is 3

Given Input Data is 657, 576, 48, 834

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

Prime Factorization of 657 is 3 x 3 x 73

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 834 is 2 x 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(657, 576) = 42048

GCD(657, 576) = ( 657 x 576 ) / 42048

GCD(657, 576) = 378432 / 42048

GCD(657, 576) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 48

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

LCM(9, 48) = 144

GCD(9, 48) = ( 9 x 48 ) / 144

GCD(9, 48) = 432 / 144

GCD(9, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 834

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

LCM(3, 834) = 834

GCD(3, 834) = ( 3 x 834 ) / 834

GCD(3, 834) = 2502 / 834

GCD(3, 834) = 3

GCD of 657, 576, 48, 834 is 3

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1. What is the GCD of 657, 576, 48, 834?

GCD of 657, 576, 48, 834 is 3

2. Where do I get the detailed procedure to find GCD of 657, 576, 48, 834?

You can find a detailed procedure to find GCD of 657, 576, 48, 834 on our page.

3. How to find GCD of 657, 576, 48, 834 on a calculator?

You can find the GCD of 657, 576, 48, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.