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GCD of 784, 432, 838 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 784, 432, 838 quickly. Get the easiest ways to solve the greatest common divisor of 784, 432, 838 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 784, 432, 838 with Factoring?

Given Input numbers are 784, 432, 838

In the factoring method, we have to find the divisors of all numbers

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838


GCD of numbers is the greatest common divisor

So, the GCD (784, 432, 838) = 2.

Find GCD of 784, 432, 838 using Prime Factorization

Given numbers are 784, 432, 838

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 838 are 2 x 419

The highest common occurrence is 21

Therefore, GCD of 784, 432, 838 is 2.

Steps to Calculate GCD of 784, 432, 838 using LCM Formula

Given numbers are 784, 432, 838

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(784, 432) = 21168

GCD(784, 432) = ( 784 x 432 ) / 21168

= 784 / 432

= 784


Step2:

LCM(16, 838) = 6704

GCD(16, 838) = ( 16 x 838 ) / 6704

= 16 / 838

= 16


So, Greatest Common Divisor of 784, 432, 838 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 784, 432, 838

Given numbers are 784, 432, 838
The greatest common divisor of numbers 784, 432, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 432, 838 is 2.

FAQs on GCD of 784, 432, 838 Calculator

1. What is the GCD of 784, 432, 838?

GCD of given numbers 784, 432, 838 is 2


2. How to calculate the greatest common divisor of 784, 432, 838?

We can find the highest common divisor of 784, 432, 838 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 784, 432, 838 i.e 2.


3. How can I use the GCD of 784, 432, 838Calculator?

Out the numbers 784, 432, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.