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GCD of 360, 864, 888, 141 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, 864, 888, 141 quickly. Get the easiest ways to solve the greatest common divisor of 360, 864, 888, 141 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 360, 864, 888, 141 with Factoring?

Given Input numbers are 360, 864, 888, 141

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 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 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141


GCD of numbers is the greatest common divisor

So, the GCD (360, 864, 888, 141) = 3.

Find GCD of 360, 864, 888, 141 using Prime Factorization

Given numbers are 360, 864, 888, 141

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 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 141 are 3 x 47

The highest common occurrence is 31

Therefore, GCD of 360, 864, 888, 141 is 3.

Steps to Calculate GCD of 360, 864, 888, 141 using LCM Formula

Given numbers are 360, 864, 888, 141

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

Apply this formula for all numbers.

Step1:

LCM(360, 864) = 4320

GCD(360, 864) = ( 360 x 864 ) / 4320

= 360 / 864

= 360


Step2:

LCM(72, 888) = 2664

GCD(72, 888) = ( 72 x 888 ) / 2664

= 72 / 888

= 72


Step3:

LCM(24, 141) = 1128

GCD(24, 141) = ( 24 x 141 ) / 1128

= 24 / 141

= 24


So, Greatest Common Divisor of 360, 864, 888, 141 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 360, 864, 888, 141

Given numbers are 360, 864, 888, 141
The greatest common divisor of numbers 360, 864, 888, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 864, 888, 141 is 3.

FAQs on GCD of 360, 864, 888, 141 Calculator

1. What is the GCD of 360, 864, 888, 141?

GCD of given numbers 360, 864, 888, 141 is 3


2. How to calculate the greatest common divisor of 360, 864, 888, 141?

We can find the highest common divisor of 360, 864, 888, 141 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, 864, 888, 141 i.e 3.


3. How can I use the GCD of 360, 864, 888, 141Calculator?

Out the numbers 360, 864, 888, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.