GCD of 804, 670, 38, 748 Calculator

Given Input numbers are 804, 670, 38, 748

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 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 804, 670, 38, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 670, 38, 748 is 2.

Therefore, GCD of numbers 804, 670, 38, 748 is 2

Given Input Data is 804, 670, 38, 748

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 670 is 2 x 5 x 67

Prime Factorization of 38 is 2 x 19

Prime Factorization of 748 is 2 x 2 x 11 x 17

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, 670) = 4020

GCD(804, 670) = ( 804 x 670 ) / 4020

GCD(804, 670) = 538680 / 4020

GCD(804, 670) = 134

Step2:

Here we consider the GCD from the above i.e. 134 as first number and the next as 38

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

LCM(134, 38) = 2546

GCD(134, 38) = ( 134 x 38 ) / 2546

GCD(134, 38) = 5092 / 2546

GCD(134, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 804, 670, 38, 748 is 2

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1. What is the GCD of 804, 670, 38, 748?

GCD of 804, 670, 38, 748 is 2

2. Where do I get the detailed procedure to find GCD of 804, 670, 38, 748?

You can find a detailed procedure to find GCD of 804, 670, 38, 748 on our page.

3. How to find GCD of 804, 670, 38, 748 on a calculator?

You can find the GCD of 804, 670, 38, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.