GCD of 804, 780, 838 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 804, 780, 838 i.e. 2 largest integer that divides all the numbers equally.

GCD of 804, 780, 838 is 2

GCD(804, 780, 838) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 804, 780, 838 is 2

GCD(804, 780, 838) = 2

GCD of 804,780,838 Calculator

GCDof 804,780,838 is 2

Given Input numbers are 804, 780, 838

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 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 804, 780, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 780, 838 is 2.

Therefore, GCD of numbers 804, 780, 838 is 2

Finding GCD of 804, 780, 838 using Prime Factorization

Given Input Data is 804, 780, 838

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 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 838 is 2 x 419

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 804, 780, 838 using LCM Formula

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, 780) = 52260

GCD(804, 780) = ( 804 x 780 ) / 52260

GCD(804, 780) = 627120 / 52260

GCD(804, 780) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 838

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

LCM(12, 838) = 5028

GCD(12, 838) = ( 12 x 838 ) / 5028

GCD(12, 838) = 10056 / 5028

GCD(12, 838) = 2

GCD of 804, 780, 838 is 2

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FAQs on GCD of numbers 804, 780, 838

1. What is the GCD of 804, 780, 838?

GCD of 804, 780, 838 is 2

2. Where do I get the detailed procedure to find GCD of 804, 780, 838?

You can find a detailed procedure to find GCD of 804, 780, 838 on our page.

3. How to find GCD of 804, 780, 838 on a calculator?

You can find the GCD of 804, 780, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.