## TOOL: GCF CAKE (LADDER) METHOD CALCULATOR

#### GCF CAKE (LADDER) METHOD CALCULATOR

Enter positive whole numbers. RESULT

GCF of 24 and 30 is calculated using the cake method below.

GCF(24, 30) = 2 . 3 = 6 DESCRIPTIONS

GCD is equal to the product of the common prime factors on the left side of the cake above. OTHER INFORMATION

The common factors of 24 and 30 are 1, 2, 3 and 6. Among these numbers, the greatest one is 6

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## INFORMATION

### GCF CAKE METHOD

The greatest common factor (GCF) or so called the greatest common division (GCD) of two positive whole numbers is the largest number that divides these numbers exactly. GCF of two numbers can be found by using the upside-down cake method. In this method, after we write the given numbers, we seek for the prime numbers that divides both of them exactly. If we find such a prime number, we write it to the left. Then we divide the whole numbers on the right by this prime number and write the results on a new layer. We continue the process until no prime number that divides the numbers on the right remains.

Product of the prime numbers on the right gives us the GCF. This method is also known as the ladder method.

### WHAT IS GCF CAKE (LADDER) METHOD CALCULATOR?

• Draws the upside-down cake associated with the given numbers,
• Graphically illustrates the result,
• Computes the GCF and
• Calculates all common factors of the entered numbers.

### HOW TO USE GCF CAKE (LADDER) METHOD CALCULATOR?

You can use GCF cake (ladder) method calculator in two ways.

• #### USER INPUTS You can enter two positive whole numbers to the input boxes and click on the "CALCULATE" button. The result and explanations appaer below the calculator

• #### RANDOM INPUTS You can click on the DIE ICON next to the input boxes. If you use this property, two random numbers are generated and entered to the calculator, automatically. You can see the result and explanations below the calculator. You can create your own examples and practice using this property.

• #### CLEARING THE INPUT BOX To check the GCF of other numbers you can clear the input box by clicking on the CLEAR button under the input box.

• You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.

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