GCD of 804, 494, 340, 762 Calculator

Given Input numbers are 804, 494, 340, 762

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 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 804, 494, 340, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 494, 340, 762 is 2.

Therefore, GCD of numbers 804, 494, 340, 762 is 2

Given Input Data is 804, 494, 340, 762

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 494 is 2 x 13 x 19

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 762 is 2 x 3 x 127

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 494) = 198588

GCD(804, 494) = ( 804 x 494 ) / 198588

GCD(804, 494) = 397176 / 198588

GCD(804, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 762

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

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

GCD(2, 762) = 1524 / 762

GCD(2, 762) = 2

GCD of 804, 494, 340, 762 is 2

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1. What is the GCD of 804, 494, 340, 762?

GCD of 804, 494, 340, 762 is 2

2. Where do I get the detailed procedure to find GCD of 804, 494, 340, 762?

You can find a detailed procedure to find GCD of 804, 494, 340, 762 on our page.

3. How to find GCD of 804, 494, 340, 762 on a calculator?

You can find the GCD of 804, 494, 340, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.