LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 320, 464, 280 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, 464, 280 quickly. Get the easiest ways to solve the greatest common divisor of 320, 464, 280 i.e 8 in different methods as follows.

GCD of

How to Find GCD of Numbers 320, 464, 280 with Factoring?

Given Input numbers are 320, 464, 280

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280


GCD of numbers is the greatest common divisor

So, the GCD (320, 464, 280) = 8.

Find GCD of 320, 464, 280 using Prime Factorization

Given numbers are 320, 464, 280

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 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 23

Therefore, GCD of 320, 464, 280 is 8.

Steps to Calculate GCD of 320, 464, 280 using LCM Formula

Given numbers are 320, 464, 280

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

Apply this formula for all numbers.

Step1:

LCM(320, 464) = 9280

GCD(320, 464) = ( 320 x 464 ) / 9280

= 320 / 464

= 320


Step2:

LCM(16, 280) = 560

GCD(16, 280) = ( 16 x 280 ) / 560

= 16 / 280

= 16


So, Greatest Common Divisor of 320, 464, 280 is 8

GCD of Numbers Calculation Examples

Greatest Common Divisor of 320, 464, 280

Given numbers are 320, 464, 280
The greatest common divisor of numbers 320, 464, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 464, 280 is 8.

FAQs on GCD of 320, 464, 280 Calculator

1. What is the GCD of 320, 464, 280?

GCD of given numbers 320, 464, 280 is 8


2. How to calculate the greatest common divisor of 320, 464, 280?

We can find the highest common divisor of 320, 464, 280 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, 464, 280 i.e 8.


3. How can I use the GCD of 320, 464, 280Calculator?

Out the numbers 320, 464, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.