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GCF and LCM

Learn how to find the Greatest Common Factor (GCF) and Least Common Multiple (LCM) using the Ladder Method. Start by writing your numbers side by side in a letter 'L'. Identify the smallest number that divides both evenly and repeat the division process until no further division is possible. Finally, multiply the numbers on the left for GCF and all numbers for LCM to derive the results. This visual approach simplifies understanding of GCF and LCM, making it easier for students to grasp these concepts.

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GCF and LCM

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  1. GCF and LCM The Ladder Method

  2. Step 1: Write your numbers side by side inside a letter L • Ex.) 12 and 8 12 8

  3. Step 2: Find the smallest number that will go into both numbers evenly and put it on the left of the L 2 12 8

  4. Step 3: Divide the number to the left into both numbers and put the answers underneath. Repeat steps 2 and 3 until you can no longer divide. 2 12 8 6 4

  5. Step 4: Repeat steps 2 and 3 until you can no longer divide. 2 12 8 2 6 4 3 2

  6. Step 5: Multiply all the numbers on the left of the L’s to find the GCF. 2 X 2 = 4 • The GCF is 4 2 12 8 2 6 4 3 2

  7. Step 6: Multiply all the numbers on the left of the L’s and below the last L to find the LCM. 2 X 2 X 3 X 2 = 24 • The LCM is 24 2 12 8 2 6 4 3 2

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