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GCD of 844, 448, 48 Calculator

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


Online GCD Calculator is useful to find the GCD of 844, 448, 48 quickly. Get the easiest ways to solve the greatest common divisor of 844, 448, 48 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 844, 448, 48 with Factoring?

Given Input numbers are 844, 448, 48

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

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

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

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48


GCD of numbers is the greatest common divisor

So, the GCD (844, 448, 48) = 4.

Find GCD of 844, 448, 48 using Prime Factorization

Given numbers are 844, 448, 48

The list of prime factors of all numbers are

Prime factors of 844 are 2 x 2 x 211

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

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

The highest common occurrence is 22

Therefore, GCD of 844, 448, 48 is 4.

Steps to Calculate GCD of 844, 448, 48 using LCM Formula

Given numbers are 844, 448, 48

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

Apply this formula for all numbers.

Step1:

LCM(844, 448) = 94528

GCD(844, 448) = ( 844 x 448 ) / 94528

= 844 / 448

= 844


Step2:

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

= 4 / 48

= 4


So, Greatest Common Divisor of 844, 448, 48 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 844, 448, 48

Given numbers are 844, 448, 48
The greatest common divisor of numbers 844, 448, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 448, 48 is 4.

FAQs on GCD of 844, 448, 48 Calculator

1. What is the GCD of 844, 448, 48?

GCD of given numbers 844, 448, 48 is 4


2. How to calculate the greatest common divisor of 844, 448, 48?

We can find the highest common divisor of 844, 448, 48 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 844, 448, 48 i.e 4.


3. How can I use the GCD of 844, 448, 48Calculator?

Out the numbers 844, 448, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.