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GCD of 384, 616, 340, 626 Calculator

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


Online GCD Calculator is useful to find the GCD of 384, 616, 340, 626 quickly. Get the easiest ways to solve the greatest common divisor of 384, 616, 340, 626 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 384, 616, 340, 626 with Factoring?

Given Input numbers are 384, 616, 340, 626

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

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626


GCD of numbers is the greatest common divisor

So, the GCD (384, 616, 340, 626) = 2.

Find GCD of 384, 616, 340, 626 using Prime Factorization

Given numbers are 384, 616, 340, 626

The list of prime factors of all numbers are

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

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 626 are 2 x 313

The highest common occurrence is 21

Therefore, GCD of 384, 616, 340, 626 is 2.

Steps to Calculate GCD of 384, 616, 340, 626 using LCM Formula

Given numbers are 384, 616, 340, 626

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

Apply this formula for all numbers.

Step1:

LCM(384, 616) = 29568

GCD(384, 616) = ( 384 x 616 ) / 29568

= 384 / 616

= 384


Step2:

LCM(8, 340) = 680

GCD(8, 340) = ( 8 x 340 ) / 680

= 8 / 340

= 8


Step3:

LCM(4, 626) = 1252

GCD(4, 626) = ( 4 x 626 ) / 1252

= 4 / 626

= 4


So, Greatest Common Divisor of 384, 616, 340, 626 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 384, 616, 340, 626

Given numbers are 384, 616, 340, 626
The greatest common divisor of numbers 384, 616, 340, 626 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 616, 340, 626 is 2.

FAQs on GCD of 384, 616, 340, 626 Calculator

1. What is the GCD of 384, 616, 340, 626?

GCD of given numbers 384, 616, 340, 626 is 2


2. How to calculate the greatest common divisor of 384, 616, 340, 626?

We can find the highest common divisor of 384, 616, 340, 626 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 384, 616, 340, 626 i.e 2.


3. How can I use the GCD of 384, 616, 340, 626Calculator?

Out the numbers 384, 616, 340, 626 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.