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GCD of 624, 138, 848, 384 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, 138, 848, 384 quickly. Get the easiest ways to solve the greatest common divisor of 624, 138, 848, 384 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 624, 138, 848, 384 with Factoring?

Given Input numbers are 624, 138, 848, 384

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384


GCD of numbers is the greatest common divisor

So, the GCD (624, 138, 848, 384) = 2.

Find GCD of 624, 138, 848, 384 using Prime Factorization

Given numbers are 624, 138, 848, 384

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 138 are 2 x 3 x 23

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 21

Therefore, GCD of 624, 138, 848, 384 is 2.

Steps to Calculate GCD of 624, 138, 848, 384 using LCM Formula

Given numbers are 624, 138, 848, 384

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

Apply this formula for all numbers.

Step1:

LCM(624, 138) = 14352

GCD(624, 138) = ( 624 x 138 ) / 14352

= 624 / 138

= 624


Step2:

LCM(6, 848) = 2544

GCD(6, 848) = ( 6 x 848 ) / 2544

= 6 / 848

= 6


Step3:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2


So, Greatest Common Divisor of 624, 138, 848, 384 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 624, 138, 848, 384

Given numbers are 624, 138, 848, 384
The greatest common divisor of numbers 624, 138, 848, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 138, 848, 384 is 2.

FAQs on GCD of 624, 138, 848, 384 Calculator

1. What is the GCD of 624, 138, 848, 384?

GCD of given numbers 624, 138, 848, 384 is 2


2. How to calculate the greatest common divisor of 624, 138, 848, 384?

We can find the highest common divisor of 624, 138, 848, 384 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, 138, 848, 384 i.e 2.


3. How can I use the GCD of 624, 138, 848, 384Calculator?

Out the numbers 624, 138, 848, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.