GCD of 804, 186, 746, 741 Calculator

Given Input numbers are 804, 186, 746, 741

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

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

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 804, 186, 746, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 186, 746, 741 is 1.

Therefore, GCD of numbers 804, 186, 746, 741 is 1

Given Input Data is 804, 186, 746, 741

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

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 746 is 2 x 373

Prime Factorization of 741 is 3 x 13 x 19

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(804, 186) = 24924

GCD(804, 186) = ( 804 x 186 ) / 24924

GCD(804, 186) = 149544 / 24924

GCD(804, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 746

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

LCM(6, 746) = 2238

GCD(6, 746) = ( 6 x 746 ) / 2238

GCD(6, 746) = 4476 / 2238

GCD(6, 746) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 741

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

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

GCD(2, 741) = 1482 / 1482

GCD(2, 741) = 1

GCD of 804, 186, 746, 741 is 1

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1. What is the GCD of 804, 186, 746, 741?

GCD of 804, 186, 746, 741 is 1

2. Where do I get the detailed procedure to find GCD of 804, 186, 746, 741?

You can find a detailed procedure to find GCD of 804, 186, 746, 741 on our page.

3. How to find GCD of 804, 186, 746, 741 on a calculator?

You can find the GCD of 804, 186, 746, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.