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GCD of 240, 284, 887, 289 Calculator

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


Online GCD Calculator is useful to find the GCD of 240, 284, 887, 289 quickly. Get the easiest ways to solve the greatest common divisor of 240, 284, 887, 289 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 284, 887, 289 with Factoring?

Given Input numbers are 240, 284, 887, 289

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 887 :

The positive integer divisors of 887 that completely divides 887 are.

1, 887

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289


GCD of numbers is the greatest common divisor

So, the GCD (240, 284, 887, 289) = 1.

Find GCD of 240, 284, 887, 289 using Prime Factorization

Given numbers are 240, 284, 887, 289

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 284 are 2 x 2 x 71

Prime factors of 887 are 887

Prime factors of 289 are 17 x 17

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

Steps to Calculate GCD of 240, 284, 887, 289 using LCM Formula

Given numbers are 240, 284, 887, 289

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

Apply this formula for all numbers.

Step1:

LCM(240, 284) = 17040

GCD(240, 284) = ( 240 x 284 ) / 17040

= 240 / 284

= 240


Step2:

LCM(4, 887) = 3548

GCD(4, 887) = ( 4 x 887 ) / 3548

= 4 / 887

= 4


Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1


So, Greatest Common Divisor of 240, 284, 887, 289 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 284, 887, 289

Given numbers are 240, 284, 887, 289
The greatest common divisor of numbers 240, 284, 887, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 284, 887, 289 is 1.

FAQs on GCD of 240, 284, 887, 289 Calculator

1. What is the GCD of 240, 284, 887, 289?

GCD of given numbers 240, 284, 887, 289 is 1


2. How to calculate the greatest common divisor of 240, 284, 887, 289?

We can find the highest common divisor of 240, 284, 887, 289 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 240, 284, 887, 289 i.e 1.


3. How can I use the GCD of 240, 284, 887, 289Calculator?

Out the numbers 240, 284, 887, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.