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GCD of 730, 838, 448 Calculator

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


Online GCD Calculator is useful to find the GCD of 730, 838, 448 quickly. Get the easiest ways to solve the greatest common divisor of 730, 838, 448 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 730, 838, 448 with Factoring?

Given Input numbers are 730, 838, 448

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448


GCD of numbers is the greatest common divisor

So, the GCD (730, 838, 448) = 2.

Find GCD of 730, 838, 448 using Prime Factorization

Given numbers are 730, 838, 448

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 838 are 2 x 419

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 21

Therefore, GCD of 730, 838, 448 is 2.

Steps to Calculate GCD of 730, 838, 448 using LCM Formula

Given numbers are 730, 838, 448

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

Apply this formula for all numbers.

Step1:

LCM(730, 838) = 305870

GCD(730, 838) = ( 730 x 838 ) / 305870

= 730 / 838

= 730


Step2:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2


So, Greatest Common Divisor of 730, 838, 448 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 730, 838, 448

Given numbers are 730, 838, 448
The greatest common divisor of numbers 730, 838, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 838, 448 is 2.

FAQs on GCD of 730, 838, 448 Calculator

1. What is the GCD of 730, 838, 448?

GCD of given numbers 730, 838, 448 is 2


2. How to calculate the greatest common divisor of 730, 838, 448?

We can find the highest common divisor of 730, 838, 448 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 730, 838, 448 i.e 2.


3. How can I use the GCD of 730, 838, 448Calculator?

Out the numbers 730, 838, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.