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GCD of 441, 960, 237, 855 Calculator

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


Online GCD Calculator is useful to find the GCD of 441, 960, 237, 855 quickly. Get the easiest ways to solve the greatest common divisor of 441, 960, 237, 855 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 441, 960, 237, 855 with Factoring?

Given Input numbers are 441, 960, 237, 855

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

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855


GCD of numbers is the greatest common divisor

So, the GCD (441, 960, 237, 855) = 3.

Find GCD of 441, 960, 237, 855 using Prime Factorization

Given numbers are 441, 960, 237, 855

The list of prime factors of all numbers are

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 237 are 3 x 79

Prime factors of 855 are 3 x 3 x 5 x 19

The highest common occurrence is 31

Therefore, GCD of 441, 960, 237, 855 is 3.

Steps to Calculate GCD of 441, 960, 237, 855 using LCM Formula

Given numbers are 441, 960, 237, 855

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

Apply this formula for all numbers.

Step1:

LCM(441, 960) = 141120

GCD(441, 960) = ( 441 x 960 ) / 141120

= 441 / 960

= 441


Step2:

LCM(3, 237) = 237

GCD(3, 237) = ( 3 x 237 ) / 237

= 3 / 237

= 3


Step3:

LCM(3, 855) = 855

GCD(3, 855) = ( 3 x 855 ) / 855

= 3 / 855

= 3


So, Greatest Common Divisor of 441, 960, 237, 855 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 441, 960, 237, 855

Given numbers are 441, 960, 237, 855
The greatest common divisor of numbers 441, 960, 237, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 960, 237, 855 is 3.

FAQs on GCD of 441, 960, 237, 855 Calculator

1. What is the GCD of 441, 960, 237, 855?

GCD of given numbers 441, 960, 237, 855 is 3


2. How to calculate the greatest common divisor of 441, 960, 237, 855?

We can find the highest common divisor of 441, 960, 237, 855 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 441, 960, 237, 855 i.e 3.


3. How can I use the GCD of 441, 960, 237, 855Calculator?

Out the numbers 441, 960, 237, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.