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GCD of 360, 336, 653, 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 360, 336, 653, 864 quickly. Get the easiest ways to solve the greatest common divisor of 360, 336, 653, 864 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 360, 336, 653, 864 with Factoring?

Given Input numbers are 360, 336, 653, 864

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

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 (360, 336, 653, 864) = 1.

Find GCD of 360, 336, 653, 864 using Prime Factorization

Given numbers are 360, 336, 653, 864

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 653 are 653

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 360, 336, 653, 864 using LCM Formula

Given numbers are 360, 336, 653, 864

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

Apply this formula for all numbers.

Step1:

LCM(360, 336) = 5040

GCD(360, 336) = ( 360 x 336 ) / 5040

= 360 / 336

= 360


Step2:

LCM(24, 653) = 15672

GCD(24, 653) = ( 24 x 653 ) / 15672

= 24 / 653

= 24


Step3:

LCM(1, 864) = 864

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

= 1 / 864

= 1


So, Greatest Common Divisor of 360, 336, 653, 864 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 360, 336, 653, 864

Given numbers are 360, 336, 653, 864
The greatest common divisor of numbers 360, 336, 653, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 336, 653, 864 is 1.

FAQs on GCD of 360, 336, 653, 864 Calculator

1. What is the GCD of 360, 336, 653, 864?

GCD of given numbers 360, 336, 653, 864 is 1


2. How to calculate the greatest common divisor of 360, 336, 653, 864?

We can find the highest common divisor of 360, 336, 653, 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 360, 336, 653, 864 i.e 1.


3. How can I use the GCD of 360, 336, 653, 864Calculator?

Out the numbers 360, 336, 653, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.