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# What is the Greatest Common Divisor of positive integers m

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Joined: 31 Dec 1969
Location: India
Concentration: Strategy, Human Resources
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GMAT 4: 710 Q45 V41
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What is the Greatest Common Divisor of positive integers m [#permalink]  02 Sep 2004, 23:19
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What is the Greatest Common Divisor of positive integers m ans n?
A. m is a prime number
B. m and n are consecutive integers.

Please provide with explainations. Thanks
Manager
Joined: 18 Jun 2004
Posts: 105
Location: san jose , CA
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[#permalink]  03 Sep 2004, 00:06
My answer is B ,

(1) say m = 7 , and n= 14 , GCD = 7
m = 7 and n = 13 GCD = 1
not sure

(2)

m = 2 , n = 3 GCD is 1
m = 5 , n = 6 GCD is 1

for any two consecutive numbers GCD is 1
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Manager
Joined: 02 Apr 2004
Posts: 224
Location: Utrecht
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[#permalink]  03 Sep 2004, 00:13
I have answer B too.

st.1
m = 3 and n = 9 --> GCD = 3
m = 3 and n = 8 --> GCD = 1
Not sufficient

st.2
m = 5 and n = 6 --> GCD = 1
m = 14 and n = 15 --> GCD = 1
m = 1 and n = 2 --> GCD = 1
Sufficient

Please correct me if I am wrong.

Regards,

Alex
[#permalink] 03 Sep 2004, 00:13
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# What is the Greatest Common Divisor of positive integers m

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