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GCD of 520, 470, 320 Calculator

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


Online GCD Calculator is useful to find the GCD of 520, 470, 320 quickly. Get the easiest ways to solve the greatest common divisor of 520, 470, 320 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 520, 470, 320 with Factoring?

Given Input numbers are 520, 470, 320

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 470 :

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

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320


GCD of numbers is the greatest common divisor

So, the GCD (520, 470, 320) = 10.

Find GCD of 520, 470, 320 using Prime Factorization

Given numbers are 520, 470, 320

The list of prime factors of all numbers are

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 470 are 2 x 5 x 47

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 21 x 51

Therefore, GCD of 520, 470, 320 is 10.

Steps to Calculate GCD of 520, 470, 320 using LCM Formula

Given numbers are 520, 470, 320

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

Apply this formula for all numbers.

Step1:

LCM(520, 470) = 24440

GCD(520, 470) = ( 520 x 470 ) / 24440

= 520 / 470

= 520


Step2:

LCM(10, 320) = 320

GCD(10, 320) = ( 10 x 320 ) / 320

= 10 / 320

= 10


So, Greatest Common Divisor of 520, 470, 320 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 520, 470, 320

Given numbers are 520, 470, 320
The greatest common divisor of numbers 520, 470, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 470, 320 is 10.

FAQs on GCD of 520, 470, 320 Calculator

1. What is the GCD of 520, 470, 320?

GCD of given numbers 520, 470, 320 is 10


2. How to calculate the greatest common divisor of 520, 470, 320?

We can find the highest common divisor of 520, 470, 320 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 520, 470, 320 i.e 10.


3. How can I use the GCD of 520, 470, 320Calculator?

Out the numbers 520, 470, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.