Mathematics Class 6 NCERT Solutions: Chapter 3 Playing With Numbers Exercise 3.7-Part 1

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Examples of HCF

Examples of HCF

Examples of HCF

Q.1 Renu purchases two bags of fertilizer of weights kg and kg. Find the maximum value of weight which can measure the weight of the fertilizer exact number of times.

Answer: For finding maximum weight, we have to find H.C.F. of and .

Factors of

Factors of

H.C.F.

Therefore the required weight is kg.

Q.2 Three boys step off together from the same spot. Their steps measure cm, cm and cm respectively. What is the maximum distance each should cover so that all can cover the distance in complete steps?

Answer: For finding minimum distance, we have to find L.C.M of , and .

L.C.M. of and cm.

Therefore, the minimum distance is cm.

Table of Minimum Distance of 63,70 and 77
Table of Minimum Distance of 63,70 And 77

Q.3 The length, breadth and height of a room are cm, cm and cm respectively.

Find the longest tape which can measure the three dimensions of the room exactly.

Answer: The measurement of longest tape = H.C.F. of cm, cm and cm.

Factors of

Factors of

Factors of

H.C.F.

Therefore, the longest tape is .

Q.4 Determine the smallest -digit number which is exactly divisible by .

Answer: L.C.M. of

The smallest 3-digit number

To find the number, we have to divide by

and

Therefore, the required number

Table of Determine the Smallest 3-Digit Number
Table of Determine The Smallest 3-Digit Number

Q.5 Determine the largest -digit number which is exactly divisible by .

Answer: L.C.M. of

The largest three digit number

Now,

Therefore, the required number

Table of Determine the Largest 3-Digit Number of 8,10 and 12
Table of Determine The Largest 3-Digit Number of 8,10 And 12