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GCD of 264, 363, 529, 928 Calculator

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


Online GCD Calculator is useful to find the GCD of 264, 363, 529, 928 quickly. Get the easiest ways to solve the greatest common divisor of 264, 363, 529, 928 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 264, 363, 529, 928 with Factoring?

Given Input numbers are 264, 363, 529, 928

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

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 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 529 :

The positive integer divisors of 529 that completely divides 529 are.

1, 23, 529

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928


GCD of numbers is the greatest common divisor

So, the GCD (264, 363, 529, 928) = 1.

Find GCD of 264, 363, 529, 928 using Prime Factorization

Given numbers are 264, 363, 529, 928

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 363 are 3 x 11 x 11

Prime factors of 529 are 23 x 23

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

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

Steps to Calculate GCD of 264, 363, 529, 928 using LCM Formula

Given numbers are 264, 363, 529, 928

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

Apply this formula for all numbers.

Step1:

LCM(264, 363) = 2904

GCD(264, 363) = ( 264 x 363 ) / 2904

= 264 / 363

= 264


Step2:

LCM(33, 529) = 17457

GCD(33, 529) = ( 33 x 529 ) / 17457

= 33 / 529

= 33


Step3:

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

= 1 / 928

= 1


So, Greatest Common Divisor of 264, 363, 529, 928 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 264, 363, 529, 928

Given numbers are 264, 363, 529, 928
The greatest common divisor of numbers 264, 363, 529, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 363, 529, 928 is 1.

FAQs on GCD of 264, 363, 529, 928 Calculator

1. What is the GCD of 264, 363, 529, 928?

GCD of given numbers 264, 363, 529, 928 is 1


2. How to calculate the greatest common divisor of 264, 363, 529, 928?

We can find the highest common divisor of 264, 363, 529, 928 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 264, 363, 529, 928 i.e 1.


3. How can I use the GCD of 264, 363, 529, 928Calculator?

Out the numbers 264, 363, 529, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.