Ladder Method to Solving GCF & LCM

GCF = 2 x 2 Find the GCF and LCM of 8 and 12. LCM = 4 x 2 x 3 1. Put the two numbers inside the "ladder". 2. What is the smallest number that will divide evenly into both numbers. 3. Write how many times it will divide into each below the line. 4. Repeat steps 2 and 3 until there are prime numbers left. 5. GCF is the product of all factors on the left. 6. LCM is the product of the GCF and the numbers remaining. STEPS: Find the GCF and LCM of 4 and 10. LCM = GCF = Note: When the smaller number divides into thelarger number evenly, the answers are the same as the original problem. Find the GCF and LCM of 5 and 10. LCM = GCF = Find the GCF and LCM of 4 and 12. LCM = GCF = NOTE: Sometimes, the only number that will divide into both of the numbers is 1. Find the GCF and LCM of 12 and 7. LCM = GCF = |

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