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12 Dec 2016, 12:36
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A
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Difficulty:
15%
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Question Stats:
83% (01:41) correct
17%
(02:01)
wrong
based on 161
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Not Attempted Yet
The positive difference between the greatest common factor and the least common multiple of 40 and 36 can be expressed as
A. \(2^3*3^2*5 – 2^2\)
B. \(2^3*3^2*5 – 2^2*3\)
C. \(2^5*3^2*5 – 2^2*3^2\)
D. \(2^5*3^2*5 – 2^2\)
E. \(2^3*3^2 – 2^2*3^2\)
A. \(2^3*3^2*5 – 2^2\)
B. \(2^3*3^2*5 – 2^2*3\)
C. \(2^5*3^2*5 – 2^2*3^2\)
D. \(2^5*3^2*5 – 2^2\)
E. \(2^3*3^2 – 2^2*3^2\)
13 Dec 2016, 02:11
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\(40 = 2^3*5\)
\(36 = 2^2*3^2\)
\(LCM (40, 36) = 2^3*3^2*5\)
\(GCF (40, 36) = 2^2\)
\(LCM > GCF\) -----> \(LCM - GCF > 0\)
\(LCM - GCF = 2^3*3^2*5 - 2^2\)
Answer A
\(36 = 2^2*3^2\)
\(LCM (40, 36) = 2^3*3^2*5\)
\(GCF (40, 36) = 2^2\)
\(LCM > GCF\) -----> \(LCM - GCF > 0\)
\(LCM - GCF = 2^3*3^2*5 - 2^2\)
Answer A
18 Jan 2026, 05:35
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