GCF-LCM answers
In-class #1 answers
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Factors of 35: 1, 5, 7
Factors of 25: 1, 5
GCF = 5
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Factors of 14: 1, 2, 7, 14
Factors of 28: 1, 2, 4, 7, 14
GCF = 14
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Factors of 40: 1, 2, 4, 5, 8, 10, 20
Factors of 18: 1, 2, 3, 6, 9
GCF = 2
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Factors of 14: 1, 2, 7, 14
Factors of 42: 1, 2, 3, 6, 7, 14, 21
GCF = 14
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Factors of 18: 1, 2, 3, 6, 9
Factors of 33: 1, 3, 11
GCF = 3
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Factors of 24: 1, 2, 3, 4, 6, 8, 12
Factors of 16: 1, 2, 4, 8
GCF = 8
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LCM (35,25) = 875/5 = 175
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LCM (14,28) = 392/14 = 28
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LCM (40,18) = 720/2 = 360
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LCM (14,42) = 588/14 = 42
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LCM (18,33) = 594/3 = 198
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LCM (24,16) = 384/8 = 48
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In-class #2 answers
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Multiples of 12: 12, 24, 36, 48, 60, 72
Multiples of 20: 20, 40, 60, 80
LCM = 60
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Multiples of 7: 7, 14, 21, 28, 35, 42
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36
LCM = 28
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Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48
Multiples of 10: 10, 20, 30, 40, 50
LCM = 30
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Multiples of 4: 4, 8, 12, 16, 20, 24
Multiples of 3: 3, 6, 9, 12, 15, 18
LCM = 12
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Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
Multiples of 25: 25, 50, 75, 100, 125
LCM = 50
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Multiples of 14: 14, 28, 42, 56, 70
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48
LCM = 42
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GCF(12,20) = 240/60 = 4
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GCF(7,4) = 28/28 = 1
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GCF(6,10) = 60/30 = 2
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GCF(4,3) = 12/12 = 1
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GCF(10,25) = 250/50 = 5
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GCF(14,6) = 84/42 = 2
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In-class #3 answers
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Using the LCM formula:
LCM (a,b) = (a x b)/ GCF(a,b) = 192 / 4 = 48
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Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54.
Multiples of 16 16: 16, 32, 48
In 48 days she will do both on the same day.
- Factors of 14: 1, 2, 7, 14
Factors of 8: 1, 2, 4, 8
He can pack 2 CDs in each box.
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