GCD of 804, 744, 29, 942 Calculator

Given Input numbers are 804, 744, 29, 942

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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 804, 744, 29, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 744, 29, 942 is 1.

Therefore, GCD of numbers 804, 744, 29, 942 is 1

Given Input Data is 804, 744, 29, 942

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 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 29 is 29

Prime Factorization of 942 is 2 x 3 x 157

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, 744) = 49848

GCD(804, 744) = ( 804 x 744 ) / 49848

GCD(804, 744) = 598176 / 49848

GCD(804, 744) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 29

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

LCM(12, 29) = 348

GCD(12, 29) = ( 12 x 29 ) / 348

GCD(12, 29) = 348 / 348

GCD(12, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 804, 744, 29, 942 is 1

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1. What is the GCD of 804, 744, 29, 942?

GCD of 804, 744, 29, 942 is 1

2. Where do I get the detailed procedure to find GCD of 804, 744, 29, 942?

You can find a detailed procedure to find GCD of 804, 744, 29, 942 on our page.

3. How to find GCD of 804, 744, 29, 942 on a calculator?

You can find the GCD of 804, 744, 29, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.