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GCD of 480, 264, 523, 866 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, 264, 523, 866 quickly. Get the easiest ways to solve the greatest common divisor of 480, 264, 523, 866 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 264, 523, 866 with Factoring?

Given Input numbers are 480, 264, 523, 866

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 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 866 :

The positive integer divisors of 866 that completely divides 866 are.

1, 2, 433, 866


GCD of numbers is the greatest common divisor

So, the GCD (480, 264, 523, 866) = 1.

Find GCD of 480, 264, 523, 866 using Prime Factorization

Given numbers are 480, 264, 523, 866

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 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 523 are 523

Prime factors of 866 are 2 x 433

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

Steps to Calculate GCD of 480, 264, 523, 866 using LCM Formula

Given numbers are 480, 264, 523, 866

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

Apply this formula for all numbers.

Step1:

LCM(480, 264) = 5280

GCD(480, 264) = ( 480 x 264 ) / 5280

= 480 / 264

= 480


Step2:

LCM(24, 523) = 12552

GCD(24, 523) = ( 24 x 523 ) / 12552

= 24 / 523

= 24


Step3:

LCM(1, 866) = 866

GCD(1, 866) = ( 1 x 866 ) / 866

= 1 / 866

= 1


So, Greatest Common Divisor of 480, 264, 523, 866 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 264, 523, 866

Given numbers are 480, 264, 523, 866
The greatest common divisor of numbers 480, 264, 523, 866 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 264, 523, 866 is 1.

FAQs on GCD of 480, 264, 523, 866 Calculator

1. What is the GCD of 480, 264, 523, 866?

GCD of given numbers 480, 264, 523, 866 is 1


2. How to calculate the greatest common divisor of 480, 264, 523, 866?

We can find the highest common divisor of 480, 264, 523, 866 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, 264, 523, 866 i.e 1.


3. How can I use the GCD of 480, 264, 523, 866Calculator?

Out the numbers 480, 264, 523, 866 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.