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GCD of 240, 308, 217, 443 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, 308, 217, 443 quickly. Get the easiest ways to solve the greatest common divisor of 240, 308, 217, 443 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 308, 217, 443 with Factoring?

Given Input numbers are 240, 308, 217, 443

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 443 :

The positive integer divisors of 443 that completely divides 443 are.

1, 443


GCD of numbers is the greatest common divisor

So, the GCD (240, 308, 217, 443) = 1.

Find GCD of 240, 308, 217, 443 using Prime Factorization

Given numbers are 240, 308, 217, 443

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 308 are 2 x 2 x 7 x 11

Prime factors of 217 are 7 x 31

Prime factors of 443 are 443

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

Steps to Calculate GCD of 240, 308, 217, 443 using LCM Formula

Given numbers are 240, 308, 217, 443

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

Apply this formula for all numbers.

Step1:

LCM(240, 308) = 18480

GCD(240, 308) = ( 240 x 308 ) / 18480

= 240 / 308

= 240


Step2:

LCM(4, 217) = 868

GCD(4, 217) = ( 4 x 217 ) / 868

= 4 / 217

= 4


Step3:

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

= 1 / 443

= 1


So, Greatest Common Divisor of 240, 308, 217, 443 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 308, 217, 443

Given numbers are 240, 308, 217, 443
The greatest common divisor of numbers 240, 308, 217, 443 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 308, 217, 443 is 1.

FAQs on GCD of 240, 308, 217, 443 Calculator

1. What is the GCD of 240, 308, 217, 443?

GCD of given numbers 240, 308, 217, 443 is 1


2. How to calculate the greatest common divisor of 240, 308, 217, 443?

We can find the highest common divisor of 240, 308, 217, 443 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, 308, 217, 443 i.e 1.


3. How can I use the GCD of 240, 308, 217, 443Calculator?

Out the numbers 240, 308, 217, 443 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.