# GREATEST COMMON FACTOR (GCF) LEAST COMMON MULTIPLE (LCM) EXPONENTS SQUARE ROOTS ORDER OF OPERATIONS.

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GREATEST COMMON FACTOR (GCF) LEAST COMMON MULTIPLE (LCM) EXPONENTS SQUARE ROOTS ORDER OF OPERATIONS

COMMON FACTORS METHOD #1 - USING A FACTOR TREE, FIND WHAT COMMON PRIME (ROOT) NUMBERS EACH HAS AND MULTIPLY THEM METHOD #2 - LIST THE FACTORS FOR EACH NUMBER - DETERMINE WHICH ARE COMMON - FIND THE LARGEST

COMMON FACTORS METHOD #1 - FIND THE GREATEST COMMON FACTOR (GCF) FOR THE NUMBERS 36 AND 48. 3648 6 6 6 8 2 3 2 32 3 2 4 2 2 2 x 2 x 3 x 32 x 2 x 2 x 2 x 3 2 x 2 x 3 = 12

COMMON FACTORS 3648 2 x 2 x 3 = 12 3 2 2 2 3 2

COMMON FACTORS METHOD #2 - LIST FACTORS 36 = 1 x 364 x 948 =1 x 484 x 12 2 x 186 x 62 x 246 x 8 3 x 123 x 16 36 – (1, 2, 3, 4, 6, 9, 12, 18, 36) 48 – (1, 2, 3, 4, 6, 8, 12, 16, 24, 48) - COMMON(1, 2, 3, 4, 6, 12) - GREATEST COMMON FACTOR (GCF)12

COMMON MULTIPLES METHOD #1 - USING A FACTOR TREE, DETERMINE THE PRIME (ROOT) NUMBERS FOR EACH. - CREATE A VENN DIAGRAM (CIRCLES) AND MULTIPLY WHATEVER PRIME NUMBERS ARE IN THE CIRCLES METHOD #2 - LIST THE MULTIPLES OF EACH NUMBER - CIRCLE THE MATCHING NUMBERS - FIND THE LOWEST NUMBER

COMMON MULTIPLES METHOD #1 - FIND THE LEAST COMMON MULTIPLE (LCM) FOR THE NUMBERS 8 AND 12. 812 2 4 2 6 2 2 2 3 2 x 2 x 22 x 2 x 3 2 x 2 x 2 x 3 = 24

COMMON MULTIPLES 812 2 x 2 x 2 x 3 = 24 2 3 2 2

COMMON MULTIPLES METHOD #2 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104 12= 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 CIRCLE MATCHING 24, 48, 72 LEAST COMMON MULTIPLE (LCM) - 24

EXPONENTS

SQUARE ROOTS

ORDER OF OPERATIONS BEDMAS Brackets Exponents (Square roots) Division & Multiplication Addition & Subtraction

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