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GCD of 384, 876, 470, 213 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, 876, 470, 213 quickly. Get the easiest ways to solve the greatest common divisor of 384, 876, 470, 213 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 384, 876, 470, 213 with Factoring?

Given Input numbers are 384, 876, 470, 213

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 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213


GCD of numbers is the greatest common divisor

So, the GCD (384, 876, 470, 213) = 1.

Find GCD of 384, 876, 470, 213 using Prime Factorization

Given numbers are 384, 876, 470, 213

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 876 are 2 x 2 x 3 x 73

Prime factors of 470 are 2 x 5 x 47

Prime factors of 213 are 3 x 71

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

Steps to Calculate GCD of 384, 876, 470, 213 using LCM Formula

Given numbers are 384, 876, 470, 213

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

Apply this formula for all numbers.

Step1:

LCM(384, 876) = 28032

GCD(384, 876) = ( 384 x 876 ) / 28032

= 384 / 876

= 384


Step2:

LCM(12, 470) = 2820

GCD(12, 470) = ( 12 x 470 ) / 2820

= 12 / 470

= 12


Step3:

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

= 2 / 213

= 2


So, Greatest Common Divisor of 384, 876, 470, 213 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 384, 876, 470, 213

Given numbers are 384, 876, 470, 213
The greatest common divisor of numbers 384, 876, 470, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 876, 470, 213 is 1.

FAQs on GCD of 384, 876, 470, 213 Calculator

1. What is the GCD of 384, 876, 470, 213?

GCD of given numbers 384, 876, 470, 213 is 1


2. How to calculate the greatest common divisor of 384, 876, 470, 213?

We can find the highest common divisor of 384, 876, 470, 213 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, 876, 470, 213 i.e 1.


3. How can I use the GCD of 384, 876, 470, 213Calculator?

Out the numbers 384, 876, 470, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.