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GCD of 240, 273, 906, 843 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, 273, 906, 843 quickly. Get the easiest ways to solve the greatest common divisor of 240, 273, 906, 843 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 273, 906, 843 with Factoring?

Given Input numbers are 240, 273, 906, 843

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 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843


GCD of numbers is the greatest common divisor

So, the GCD (240, 273, 906, 843) = 3.

Find GCD of 240, 273, 906, 843 using Prime Factorization

Given numbers are 240, 273, 906, 843

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 273 are 3 x 7 x 13

Prime factors of 906 are 2 x 3 x 151

Prime factors of 843 are 3 x 281

The highest common occurrence is 31

Therefore, GCD of 240, 273, 906, 843 is 3.

Steps to Calculate GCD of 240, 273, 906, 843 using LCM Formula

Given numbers are 240, 273, 906, 843

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

Apply this formula for all numbers.

Step1:

LCM(240, 273) = 21840

GCD(240, 273) = ( 240 x 273 ) / 21840

= 240 / 273

= 240


Step2:

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

= 3 / 906

= 3


Step3:

LCM(3, 843) = 843

GCD(3, 843) = ( 3 x 843 ) / 843

= 3 / 843

= 3


So, Greatest Common Divisor of 240, 273, 906, 843 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 273, 906, 843

Given numbers are 240, 273, 906, 843
The greatest common divisor of numbers 240, 273, 906, 843 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 273, 906, 843 is 3.

FAQs on GCD of 240, 273, 906, 843 Calculator

1. What is the GCD of 240, 273, 906, 843?

GCD of given numbers 240, 273, 906, 843 is 3


2. How to calculate the greatest common divisor of 240, 273, 906, 843?

We can find the highest common divisor of 240, 273, 906, 843 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, 273, 906, 843 i.e 3.


3. How can I use the GCD of 240, 273, 906, 843Calculator?

Out the numbers 240, 273, 906, 843 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.