GCD of 804, 742, 77 Calculator

Given Input numbers are 804, 742, 77

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Greatest Common Divisior

We found the divisors of 804, 742, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 742, 77 is 1.

Therefore, GCD of numbers 804, 742, 77 is 1

Given Input Data is 804, 742, 77

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 742 is 2 x 7 x 53

Prime Factorization of 77 is 7 x 11

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, 742) = 298284

GCD(804, 742) = ( 804 x 742 ) / 298284

GCD(804, 742) = 596568 / 298284

GCD(804, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

GCD of 804, 742, 77 is 1

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1. What is the GCD of 804, 742, 77?

GCD of 804, 742, 77 is 1

2. Where do I get the detailed procedure to find GCD of 804, 742, 77?

You can find a detailed procedure to find GCD of 804, 742, 77 on our page.

3. How to find GCD of 804, 742, 77 on a calculator?

You can find the GCD of 804, 742, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.