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GCD of 320, 304, 253, 316 Calculator

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


Online GCD Calculator is useful to find the GCD of 320, 304, 253, 316 quickly. Get the easiest ways to solve the greatest common divisor of 320, 304, 253, 316 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 320, 304, 253, 316 with Factoring?

Given Input numbers are 320, 304, 253, 316

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

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316


GCD of numbers is the greatest common divisor

So, the GCD (320, 304, 253, 316) = 1.

Find GCD of 320, 304, 253, 316 using Prime Factorization

Given numbers are 320, 304, 253, 316

The list of prime factors of all numbers are

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

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 253 are 11 x 23

Prime factors of 316 are 2 x 2 x 79

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

Steps to Calculate GCD of 320, 304, 253, 316 using LCM Formula

Given numbers are 320, 304, 253, 316

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

Apply this formula for all numbers.

Step1:

LCM(320, 304) = 6080

GCD(320, 304) = ( 320 x 304 ) / 6080

= 320 / 304

= 320


Step2:

LCM(16, 253) = 4048

GCD(16, 253) = ( 16 x 253 ) / 4048

= 16 / 253

= 16


Step3:

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

= 1 / 316

= 1


So, Greatest Common Divisor of 320, 304, 253, 316 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 320, 304, 253, 316

Given numbers are 320, 304, 253, 316
The greatest common divisor of numbers 320, 304, 253, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 304, 253, 316 is 1.

FAQs on GCD of 320, 304, 253, 316 Calculator

1. What is the GCD of 320, 304, 253, 316?

GCD of given numbers 320, 304, 253, 316 is 1


2. How to calculate the greatest common divisor of 320, 304, 253, 316?

We can find the highest common divisor of 320, 304, 253, 316 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 320, 304, 253, 316 i.e 1.


3. How can I use the GCD of 320, 304, 253, 316Calculator?

Out the numbers 320, 304, 253, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.