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GCD of 960, 385, 455, 231 Calculator

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


Online GCD Calculator is useful to find the GCD of 960, 385, 455, 231 quickly. Get the easiest ways to solve the greatest common divisor of 960, 385, 455, 231 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 960, 385, 455, 231 with Factoring?

Given Input numbers are 960, 385, 455, 231

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

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 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231


GCD of numbers is the greatest common divisor

So, the GCD (960, 385, 455, 231) = 1.

Find GCD of 960, 385, 455, 231 using Prime Factorization

Given numbers are 960, 385, 455, 231

The list of prime factors of all numbers are

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

Prime factors of 385 are 5 x 7 x 11

Prime factors of 455 are 5 x 7 x 13

Prime factors of 231 are 3 x 7 x 11

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

Steps to Calculate GCD of 960, 385, 455, 231 using LCM Formula

Given numbers are 960, 385, 455, 231

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

Apply this formula for all numbers.

Step1:

LCM(960, 385) = 73920

GCD(960, 385) = ( 960 x 385 ) / 73920

= 960 / 385

= 960


Step2:

LCM(5, 455) = 455

GCD(5, 455) = ( 5 x 455 ) / 455

= 5 / 455

= 5


Step3:

LCM(5, 231) = 1155

GCD(5, 231) = ( 5 x 231 ) / 1155

= 5 / 231

= 5


So, Greatest Common Divisor of 960, 385, 455, 231 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 960, 385, 455, 231

Given numbers are 960, 385, 455, 231
The greatest common divisor of numbers 960, 385, 455, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 385, 455, 231 is 1.

FAQs on GCD of 960, 385, 455, 231 Calculator

1. What is the GCD of 960, 385, 455, 231?

GCD of given numbers 960, 385, 455, 231 is 1


2. How to calculate the greatest common divisor of 960, 385, 455, 231?

We can find the highest common divisor of 960, 385, 455, 231 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 960, 385, 455, 231 i.e 1.


3. How can I use the GCD of 960, 385, 455, 231Calculator?

Out the numbers 960, 385, 455, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.