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If a*b denotes the greatest common divisor of a and b, then

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Intern
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Joined: 02 Sep 2014
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If a*b denotes the greatest common divisor of a and b, then  [#permalink]

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New post 02 Dec 2014, 05:45
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A
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E

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  15% (low)

Question Stats:

74% (00:51) correct 26% (00:58) wrong based on 80 sessions

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If a*b denotes the greatest common divisor of a and b, then ((12*16)*(18*24)) = ?

(A) 24
(B) 12
(C) 6
(D) 4
(E) 2
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Posts: 51200
Re: If a*b denotes the greatest common divisor of a and b, then  [#permalink]

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New post 02 Dec 2014, 07:17
1
omkar05 wrote:
If a*b denotes the greatest common divisor of a and b, then ((12*16)*(18*24)) = ?

(A) 24
(B) 12
(C) 6
(D) 4
(E) 2


The greatest common divisor of 12 and 16 is 4. Hence 12*16 = 4 (note that * here denotes the function not multiplication).
The greatest common divisor of 18 and 24 is 6. Hence 18*24 = 6.

Hence ((12*16)*(18*24)) = 4*6.

The greatest common divisor of 4 and 6 is 2.

Answer; E.
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Re: If a*b denotes the greatest common divisor of a and b, then  [#permalink]

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New post 02 Dec 2014, 21:12
GCD of 12,16 = 4

GCD of 18,24 = 6

GCD of 4,6 = 2

((12*16)*(18*24)) = (4 * 6) = 2

Answer = E
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If a*b denotes the greatest common divisor of a and b, then  [#permalink]

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New post 02 Dec 2014, 22:19
12=2*2*3

16=2*2*2*2

18=2*3*3

24=2*2*2*3

Bolded 2 is GCD

E
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Re: If a*b denotes the greatest common divisor of a and b, then  [#permalink]

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New post 28 Nov 2018, 08:13
a*b = GCD of a*b = 2 Take each step at a time.

The question, what does ((12*16)*(18*24)) =

1) GCD of (12*16) = 4
2) GCD of (18*24) = 6

leaves 4*6 3) GCD of (4*6) = 2
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Re: If a*b denotes the greatest common divisor of a and b, then &nbs [#permalink] 28 Nov 2018, 08:13
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If a*b denotes the greatest common divisor of a and b, then

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