GCD of 496, 623, 546, 804 Calculator

Given Input numbers are 496, 623, 546, 804

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 496, 623, 546, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 623, 546, 804 is 1.

Therefore, GCD of numbers 496, 623, 546, 804 is 1

Given Input Data is 496, 623, 546, 804

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 623 is 7 x 89

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 804 is 2 x 2 x 3 x 67

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(496, 623) = 309008

GCD(496, 623) = ( 496 x 623 ) / 309008

GCD(496, 623) = 309008 / 309008

GCD(496, 623) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

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

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

GCD of 496, 623, 546, 804 is 1

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1. What is the GCD of 496, 623, 546, 804?

GCD of 496, 623, 546, 804 is 1

2. Where do I get the detailed procedure to find GCD of 496, 623, 546, 804?

You can find a detailed procedure to find GCD of 496, 623, 546, 804 on our page.

3. How to find GCD of 496, 623, 546, 804 on a calculator?

You can find the GCD of 496, 623, 546, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.