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GCD of 576, 390, 848, 220 Calculator

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


Online GCD Calculator is useful to find the GCD of 576, 390, 848, 220 quickly. Get the easiest ways to solve the greatest common divisor of 576, 390, 848, 220 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 576, 390, 848, 220 with Factoring?

Given Input numbers are 576, 390, 848, 220

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220


GCD of numbers is the greatest common divisor

So, the GCD (576, 390, 848, 220) = 2.

Find GCD of 576, 390, 848, 220 using Prime Factorization

Given numbers are 576, 390, 848, 220

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 390 are 2 x 3 x 5 x 13

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

Prime factors of 220 are 2 x 2 x 5 x 11

The highest common occurrence is 21

Therefore, GCD of 576, 390, 848, 220 is 2.

Steps to Calculate GCD of 576, 390, 848, 220 using LCM Formula

Given numbers are 576, 390, 848, 220

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

Apply this formula for all numbers.

Step1:

LCM(576, 390) = 37440

GCD(576, 390) = ( 576 x 390 ) / 37440

= 576 / 390

= 576


Step2:

LCM(6, 848) = 2544

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

= 6 / 848

= 6


Step3:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2


So, Greatest Common Divisor of 576, 390, 848, 220 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 576, 390, 848, 220

Given numbers are 576, 390, 848, 220
The greatest common divisor of numbers 576, 390, 848, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 390, 848, 220 is 2.

FAQs on GCD of 576, 390, 848, 220 Calculator

1. What is the GCD of 576, 390, 848, 220?

GCD of given numbers 576, 390, 848, 220 is 2


2. How to calculate the greatest common divisor of 576, 390, 848, 220?

We can find the highest common divisor of 576, 390, 848, 220 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 576, 390, 848, 220 i.e 2.


3. How can I use the GCD of 576, 390, 848, 220Calculator?

Out the numbers 576, 390, 848, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.