What is the largest number which can divide 1356

Answer & Explanation

Answer: Option A

Explanation:

L.C.M. of 8, 16, 40 and 80 = 80.

$$\frac{7}{8} = \frac{70}{80};$$

$$\frac{13}{16} = \frac{65}{80};$$

$$\frac{32}{40} = \frac{62}{80};$$

Since, $$\frac{70}{80} > \frac{63}{80} > \frac{65}{80} > \frac{62}{80},$$

$$so, \frac{7}{8} > \frac{63}{80} > \frac{13}{16} > \frac{31}{40}$$

$$So, \frac{7}{8}$$ is the largest.

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The greatest number which can divide 1356, 1868 and 2764 leaving the [#permalink]

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What is the greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case?(A) 64 (B) 124(C) 156 (D) 260

(E) 312

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Re: The greatest number which can divide 1356, 1868 and 2764 leaving the [#permalink]

Back solving where you need to do fast calculations.

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Re: The greatest number which can divide 1356, 1868 and 2764 leaving the [#permalink]

Bunuel wrote:

What is the greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case?(A) 64 (B) 124(C) 156 (D) 260

(E) 312

GMAT/GRE Tutor - http://www.thatdudeknows.comFormer GMAT Master Trainer (trained new GMAT instructors) for The Princeton Review.

B-schools couldn't care less about most of the content on the GMAT; the content is just a way to test how you think, not what you know. The two main sections of the GMAT are NOT Quantitative and Verbal. They are Quantitative REASONING and Verbal REASONING. Between the two section names, "Reasoning" appears twice; "Quantitative" and "Verbal" each appears once. ;)

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Re: The greatest number which can divide 1356, 1868 and 2764 leaving the [#permalink]

Subtract 12 from each of the three numbers 1356,1868 and 2764 . We get the numbers that is completely divisible by the divisor . 1356 - 12 = 1344 , 1868 -12 = 1844 and 2764-12 = 2752 . Now determine the GCF of 1344 , 1856 and 2752 . While taking LCM start with 8 or 16 if you are comfortable with it . You will get 64 as the answer.

Re: The greatest number which can divide 1356, 1868 and 2764 leaving the [#permalink]

The greatest number which can divide 1356,1868 and 2764 leaving the same remainder 12 in each case, is the perfect square of:

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