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# Find the gcd (111…11 hundred ones ; 11…11 sixty ones). (a) 1

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Find the gcd (111…11 hundred ones ; 11…11 sixty ones). (a) 1  [#permalink]

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12 Jan 2019, 13:01
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Find the gcd (111…11 hundred ones ; 11…11 sixty ones).
(a) 111…forty ones
(b) 111…twenty five ones
(c) 111…twenty ones
(d) 111…sixty ones
(e) 111..nineteen ones

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Senior Manager
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Re: Find the gcd (111…11 hundred ones ; 11…11 sixty ones). (a) 1  [#permalink]

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12 Jan 2019, 13:02
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The GCDs of 100 ones and 60 ones will be twenty ones because 20 is the GCD of sixty and
Hundred.

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Re: Find the gcd (111…11 hundred ones ; 11…11 sixty ones). (a) 1  [#permalink]

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12 Jan 2019, 13:04
The GCDs of 100 ones and 60 ones will be twenty ones because 20 is the GCD of sixty and
Hundred.

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Re: Find the gcd (111…11 hundred ones ; 11…11 sixty ones). (a) 1  [#permalink]

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12 Jan 2019, 13:39
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Don’t be confused by the 1111...since it appears in both it can be factored out.
Now the GCF of 1111...(100 ones and 60 ones) meaning the highest number of divisors for both 100 and 60
Next give the prime factorization for 100= 2^(2) x 5^(2) and 60=2^(2) x 3 x 5
Now GCD=2^(2)x5=20 Therefore 111...Twenty ones
Ans is (C)

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Re: Find the gcd (111…11 hundred ones ; 11…11 sixty ones). (a) 1   [#permalink] 12 Jan 2019, 13:39
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# Find the gcd (111…11 hundred ones ; 11…11 sixty ones). (a) 1

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