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GCD of 438, 856, 448, 285 Calculator

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


Online GCD Calculator is useful to find the GCD of 438, 856, 448, 285 quickly. Get the easiest ways to solve the greatest common divisor of 438, 856, 448, 285 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 438, 856, 448, 285 with Factoring?

Given Input numbers are 438, 856, 448, 285

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

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 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285


GCD of numbers is the greatest common divisor

So, the GCD (438, 856, 448, 285) = 1.

Find GCD of 438, 856, 448, 285 using Prime Factorization

Given numbers are 438, 856, 448, 285

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 856 are 2 x 2 x 2 x 107

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

Prime factors of 285 are 3 x 5 x 19

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 438, 856, 448, 285 using LCM Formula

Given numbers are 438, 856, 448, 285

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

Apply this formula for all numbers.

Step1:

LCM(438, 856) = 187464

GCD(438, 856) = ( 438 x 856 ) / 187464

= 438 / 856

= 438


Step2:

LCM(2, 448) = 448

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

= 2 / 448

= 2


Step3:

LCM(2, 285) = 570

GCD(2, 285) = ( 2 x 285 ) / 570

= 2 / 285

= 2


So, Greatest Common Divisor of 438, 856, 448, 285 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 438, 856, 448, 285

Given numbers are 438, 856, 448, 285
The greatest common divisor of numbers 438, 856, 448, 285 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 856, 448, 285 is 1.

FAQs on GCD of 438, 856, 448, 285 Calculator

1. What is the GCD of 438, 856, 448, 285?

GCD of given numbers 438, 856, 448, 285 is 1


2. How to calculate the greatest common divisor of 438, 856, 448, 285?

We can find the highest common divisor of 438, 856, 448, 285 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 438, 856, 448, 285 i.e 1.


3. How can I use the GCD of 438, 856, 448, 285Calculator?

Out the numbers 438, 856, 448, 285 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.