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GCD of 640, 520, 724, 328 Calculator

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


Online GCD Calculator is useful to find the GCD of 640, 520, 724, 328 quickly. Get the easiest ways to solve the greatest common divisor of 640, 520, 724, 328 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 640, 520, 724, 328 with Factoring?

Given Input numbers are 640, 520, 724, 328

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

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328


GCD of numbers is the greatest common divisor

So, the GCD (640, 520, 724, 328) = 4.

Find GCD of 640, 520, 724, 328 using Prime Factorization

Given numbers are 640, 520, 724, 328

The list of prime factors of all numbers are

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Prime factors of 724 are 2 x 2 x 181

Prime factors of 328 are 2 x 2 x 2 x 41

The highest common occurrence is 22

Therefore, GCD of 640, 520, 724, 328 is 4.

Steps to Calculate GCD of 640, 520, 724, 328 using LCM Formula

Given numbers are 640, 520, 724, 328

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

Apply this formula for all numbers.

Step1:

LCM(640, 520) = 8320

GCD(640, 520) = ( 640 x 520 ) / 8320

= 640 / 520

= 640


Step2:

LCM(40, 724) = 7240

GCD(40, 724) = ( 40 x 724 ) / 7240

= 40 / 724

= 40


Step3:

LCM(4, 328) = 328

GCD(4, 328) = ( 4 x 328 ) / 328

= 4 / 328

= 4


So, Greatest Common Divisor of 640, 520, 724, 328 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 640, 520, 724, 328

Given numbers are 640, 520, 724, 328
The greatest common divisor of numbers 640, 520, 724, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 640, 520, 724, 328 is 4.

FAQs on GCD of 640, 520, 724, 328 Calculator

1. What is the GCD of 640, 520, 724, 328?

GCD of given numbers 640, 520, 724, 328 is 4


2. How to calculate the greatest common divisor of 640, 520, 724, 328?

We can find the highest common divisor of 640, 520, 724, 328 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 640, 520, 724, 328 i.e 4.


3. How can I use the GCD of 640, 520, 724, 328Calculator?

Out the numbers 640, 520, 724, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.