GCD of 294, 272, 624, 240 Calculator

Given Input numbers are 294, 272, 624, 240

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

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

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

Greatest Common Divisior

We found the divisors of 294, 272, 624, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 272, 624, 240 is 2.

Therefore, GCD of numbers 294, 272, 624, 240 is 2

Given Input Data is 294, 272, 624, 240

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

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(294, 272) = 39984

GCD(294, 272) = ( 294 x 272 ) / 39984

GCD(294, 272) = 79968 / 39984

GCD(294, 272) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 624

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

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

GCD(2, 624) = 1248 / 624

GCD(2, 624) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

GCD of 294, 272, 624, 240 is 2

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1. What is the GCD of 294, 272, 624, 240?

GCD of 294, 272, 624, 240 is 2

2. Where do I get the detailed procedure to find GCD of 294, 272, 624, 240?

You can find a detailed procedure to find GCD of 294, 272, 624, 240 on our page.

3. How to find GCD of 294, 272, 624, 240 on a calculator?

You can find the GCD of 294, 272, 624, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.