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 480, 864, 176, 534 Calculator

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


Online GCD Calculator is useful to find the GCD of 480, 864, 176, 534 quickly. Get the easiest ways to solve the greatest common divisor of 480, 864, 176, 534 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 864, 176, 534 with Factoring?

Given Input numbers are 480, 864, 176, 534

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534


GCD of numbers is the greatest common divisor

So, the GCD (480, 864, 176, 534) = 2.

Find GCD of 480, 864, 176, 534 using Prime Factorization

Given numbers are 480, 864, 176, 534

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 534 are 2 x 3 x 89

The highest common occurrence is 21

Therefore, GCD of 480, 864, 176, 534 is 2.

Steps to Calculate GCD of 480, 864, 176, 534 using LCM Formula

Given numbers are 480, 864, 176, 534

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

Apply this formula for all numbers.

Step1:

LCM(480, 864) = 4320

GCD(480, 864) = ( 480 x 864 ) / 4320

= 480 / 864

= 480


Step2:

LCM(96, 176) = 1056

GCD(96, 176) = ( 96 x 176 ) / 1056

= 96 / 176

= 96


Step3:

LCM(16, 534) = 4272

GCD(16, 534) = ( 16 x 534 ) / 4272

= 16 / 534

= 16


So, Greatest Common Divisor of 480, 864, 176, 534 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 864, 176, 534

Given numbers are 480, 864, 176, 534
The greatest common divisor of numbers 480, 864, 176, 534 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 864, 176, 534 is 2.

FAQs on GCD of 480, 864, 176, 534 Calculator

1. What is the GCD of 480, 864, 176, 534?

GCD of given numbers 480, 864, 176, 534 is 2


2. How to calculate the greatest common divisor of 480, 864, 176, 534?

We can find the highest common divisor of 480, 864, 176, 534 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 480, 864, 176, 534 i.e 2.


3. How can I use the GCD of 480, 864, 176, 534Calculator?

Out the numbers 480, 864, 176, 534 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.