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GCD of 624, 424, 856, 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 624, 424, 856, 448 quickly. Get the easiest ways to solve the greatest common divisor of 624, 424, 856, 448 i.e 8 in different methods as follows.

GCD of

How to Find GCD of Numbers 624, 424, 856, 448 with Factoring?

Given Input numbers are 624, 424, 856, 448

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

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


GCD of numbers is the greatest common divisor

So, the GCD (624, 424, 856, 448) = 8.

Find GCD of 624, 424, 856, 448 using Prime Factorization

Given numbers are 624, 424, 856, 448

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 424 are 2 x 2 x 2 x 53

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

The highest common occurrence is 23

Therefore, GCD of 624, 424, 856, 448 is 8.

Steps to Calculate GCD of 624, 424, 856, 448 using LCM Formula

Given numbers are 624, 424, 856, 448

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

Apply this formula for all numbers.

Step1:

LCM(624, 424) = 33072

GCD(624, 424) = ( 624 x 424 ) / 33072

= 624 / 424

= 624


Step2:

LCM(8, 856) = 856

GCD(8, 856) = ( 8 x 856 ) / 856

= 8 / 856

= 8


Step3:

LCM(8, 448) = 448

GCD(8, 448) = ( 8 x 448 ) / 448

= 8 / 448

= 8


So, Greatest Common Divisor of 624, 424, 856, 448 is 8

GCD of Numbers Calculation Examples

Greatest Common Divisor of 624, 424, 856, 448

Given numbers are 624, 424, 856, 448
The greatest common divisor of numbers 624, 424, 856, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 424, 856, 448 is 8.

FAQs on GCD of 624, 424, 856, 448 Calculator

1. What is the GCD of 624, 424, 856, 448?

GCD of given numbers 624, 424, 856, 448 is 8


2. How to calculate the greatest common divisor of 624, 424, 856, 448?

We can find the highest common divisor of 624, 424, 856, 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 624, 424, 856, 448 i.e 8.


3. How can I use the GCD of 624, 424, 856, 448Calculator?

Out the numbers 624, 424, 856, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.