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GCD of 264, 897, 470, 864 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, 897, 470, 864 quickly. Get the easiest ways to solve the greatest common divisor of 264, 897, 470, 864 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 264, 897, 470, 864 with Factoring?

Given Input numbers are 264, 897, 470, 864

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 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

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


GCD of numbers is the greatest common divisor

So, the GCD (264, 897, 470, 864) = 1.

Find GCD of 264, 897, 470, 864 using Prime Factorization

Given numbers are 264, 897, 470, 864

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 897 are 3 x 13 x 23

Prime factors of 470 are 2 x 5 x 47

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

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

Steps to Calculate GCD of 264, 897, 470, 864 using LCM Formula

Given numbers are 264, 897, 470, 864

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

Apply this formula for all numbers.

Step1:

LCM(264, 897) = 78936

GCD(264, 897) = ( 264 x 897 ) / 78936

= 264 / 897

= 264


Step2:

LCM(3, 470) = 1410

GCD(3, 470) = ( 3 x 470 ) / 1410

= 3 / 470

= 3


Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1


So, Greatest Common Divisor of 264, 897, 470, 864 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 264, 897, 470, 864

Given numbers are 264, 897, 470, 864
The greatest common divisor of numbers 264, 897, 470, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 897, 470, 864 is 1.

FAQs on GCD of 264, 897, 470, 864 Calculator

1. What is the GCD of 264, 897, 470, 864?

GCD of given numbers 264, 897, 470, 864 is 1


2. How to calculate the greatest common divisor of 264, 897, 470, 864?

We can find the highest common divisor of 264, 897, 470, 864 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, 897, 470, 864 i.e 1.


3. How can I use the GCD of 264, 897, 470, 864Calculator?

Out the numbers 264, 897, 470, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.