GCD of 243, 965, 480, 294 Calculator

Given Input numbers are 243, 965, 480, 294

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 243, 965, 480, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 965, 480, 294 is 1.

Therefore, GCD of numbers 243, 965, 480, 294 is 1

Given Input Data is 243, 965, 480, 294

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 965 is 5 x 193

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 294 is 2 x 3 x 7 x 7

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(243, 965) = 234495

GCD(243, 965) = ( 243 x 965 ) / 234495

GCD(243, 965) = 234495 / 234495

GCD(243, 965) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 243, 965, 480, 294 is 1

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1. What is the GCD of 243, 965, 480, 294?

GCD of 243, 965, 480, 294 is 1

2. Where do I get the detailed procedure to find GCD of 243, 965, 480, 294?

You can find a detailed procedure to find GCD of 243, 965, 480, 294 on our page.

3. How to find GCD of 243, 965, 480, 294 on a calculator?

You can find the GCD of 243, 965, 480, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.