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GCD of 384, 660, 758, 476 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, 660, 758, 476 quickly. Get the easiest ways to solve the greatest common divisor of 384, 660, 758, 476 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 384, 660, 758, 476 with Factoring?

Given Input numbers are 384, 660, 758, 476

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476


GCD of numbers is the greatest common divisor

So, the GCD (384, 660, 758, 476) = 2.

Find GCD of 384, 660, 758, 476 using Prime Factorization

Given numbers are 384, 660, 758, 476

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 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 758 are 2 x 379

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 21

Therefore, GCD of 384, 660, 758, 476 is 2.

Steps to Calculate GCD of 384, 660, 758, 476 using LCM Formula

Given numbers are 384, 660, 758, 476

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

Apply this formula for all numbers.

Step1:

LCM(384, 660) = 21120

GCD(384, 660) = ( 384 x 660 ) / 21120

= 384 / 660

= 384


Step2:

LCM(12, 758) = 4548

GCD(12, 758) = ( 12 x 758 ) / 4548

= 12 / 758

= 12


Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2


So, Greatest Common Divisor of 384, 660, 758, 476 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 384, 660, 758, 476

Given numbers are 384, 660, 758, 476
The greatest common divisor of numbers 384, 660, 758, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 660, 758, 476 is 2.

FAQs on GCD of 384, 660, 758, 476 Calculator

1. What is the GCD of 384, 660, 758, 476?

GCD of given numbers 384, 660, 758, 476 is 2


2. How to calculate the greatest common divisor of 384, 660, 758, 476?

We can find the highest common divisor of 384, 660, 758, 476 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, 660, 758, 476 i.e 2.


3. How can I use the GCD of 384, 660, 758, 476Calculator?

Out the numbers 384, 660, 758, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.