MATHCOUNTS TOOLBOX Lesson 1: Single Method for Finding Both the GCF and LCM
In this lesson of the MATHCOUNTS TOOLBOX, you will learn a single method that can help you find both
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About MATHCOUNTS TOOLBOX Lesson 1: Single Method for Finding Both the GCF and LCM
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Slide1MATHCOUNTS TOOLBOX Facts, Formulas and Tricks
Slide2Lesson 1:Single Method for finding both the GCF and LCM
Slide3 Put both numbers in a lattice. On theleft, put ANY divisor of the two numbers and put the quotients below the original numbers. Repeat until the quotients have no common factors except 1 (relatively prime).
Slide4 Put both numbers in a lattice. On theleft, put ANY divisor of the two numbers and put the quotients below the original numbers. Repeat until the quotients have no common factors except 1 (relatively prime).
Slide5 Put both numbers in a lattice. On theleft, put ANY divisor of the two numbers and put the quotients below the original numbers. Repeat until the quotients have no common factors except 1 (relatively prime).
Slide6 Put both numbers in a lattice. On theleft, put ANY divisor of the two numbers and put the quotients below the original numbers. Repeat until the quotients have no common factors except 1 (relatively prime).
Slide7 Draw a “boot” around the left-most column and the bottom row. Multiply the vertical divisors to get the GCF. Multiply the “boot” numbers (vertical divisors and last-row quotients) to get the LCM.
Slide8 Draw a “boot” around the left-most column and the bottom row. Multiply the vertical divisors to get the GCF. Multiply the “boot” numbers (vertical divisors and last-row quotients) to get the LCM. The GCF is 2 x 10 = 20
Slide9 Draw a “boot” around the left-most column and the bottom row. Multiply the vertical divisors to get the GCF. Multiply the “boot” numbers (vertical divisors and last-row quotients) to get the LCM. The LCM is 2 x 10 x 2 x 7 = 280
