GREATEST COMMON FACTOR

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Greatest common factors (gcf) & least common multiples (lcm)

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Presentation transcript:

GREATEST COMMON FACTOR

The greatest common factor (GCF) of 2 or more numbers is the largest number that can divide into all of the numbers. Find the GCF of 42 and 60. Write the prime factorization of each number.

Find the GCF of 42 and 60. 2 60 2 3 30 2 7 7 15 3 1 5 5 1 What prime factors do the numbers have in common? Multiply those numbers with the lowest exponents . The GCF is 2 x 3 = 6 6 is the largest number that can go into 42 and 60!

Greatest Common Factor Find the GCF of 12 and 18 18 and 27 24 and 30 36 and 45 24 and 36 16, 32 and 40 18,27 and 36

Find the HCF of : 2x3x5 and 2x3x7 2x3x5x7 and 2x2x3x11 3) 2x2x3x5 and 2x2x3x11 4) 2x2x2x5x7 and 2x2x2x5x11 5) 2x2x2x7x7 and 2x2x2x7x11

LEAST COMON MULTIPLE

The least common multiple of 2 or more numbers is the smallest number that is common between two lists of multiples.

Write the common and non common factors with the greatest exponents Find the LCM of 42 and 60. 2 60 2 3 30 2 7 7 15 3 1 5 5 1 Write the common and non common factors with the greatest exponents The LCM of 42 and 60 is 420.

Least Common Multiple Find the LCM of the following 30 and 25 32 and 8 12, 32 and 4 4. 3 and 9 5. 2,4 and 6

1. 2x5 and 5x5 2. 2x2x3 and 2x2x5 3. 2x2x3 and 2x7 4.2x2x2 and 2x7 Find the LCM of 1. 2x5 and 5x5 2. 2x2x3 and 2x2x5 3. 2x2x3 and 2x7 4.2x2x2 and 2x7 5. 2x2x5 and 5x5