GCD of 548, 823, 96, 585 Calculator

Given Input numbers are 548, 823, 96, 585

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

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 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 548, 823, 96, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 823, 96, 585 is 1.

Therefore, GCD of numbers 548, 823, 96, 585 is 1

Given Input Data is 548, 823, 96, 585

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 823 is 823

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(548, 823) = 451004

GCD(548, 823) = ( 548 x 823 ) / 451004

GCD(548, 823) = 451004 / 451004

GCD(548, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 548, 823, 96, 585 is 1

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1. What is the GCD of 548, 823, 96, 585?

GCD of 548, 823, 96, 585 is 1

2. Where do I get the detailed procedure to find GCD of 548, 823, 96, 585?

You can find a detailed procedure to find GCD of 548, 823, 96, 585 on our page.

3. How to find GCD of 548, 823, 96, 585 on a calculator?

You can find the GCD of 548, 823, 96, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.