**EXERCISE 2c** 1. Find the HCF of these numbers by prime factorisation. a. $175, 140$ b. $126, 128$ c. $336, 567$ d. $1040, 1560$ 2. Find the HCF of these numbers by division and express in index form. a. $66, 72, 30$ b. $180, 240, 270$ c. $405, 108, 306$ d. $105, 140, 210$ e. $400, 750, 1000$ f. $507, 807, 180$ g. $225, 450, 600$ h. $352, 187, 121$ 3. The capacity of two water tankers is $850\text{ litres}$ and $950\text{ litres}$ respectively. a. What is the maximum capacity of the container which can be used to measure water from both the tankers exactly? b. How many times will the container have to be filled to empty the two tanks? 4. What is the largest number that divides both $55$ and $73$ leaving remainders $7$ and [missing/cut off] respectively? 5. Two ribbons of length $270\text{ cm}$ and $180\text{ cm}$ are to be cut into strips of equal lengths. a. Find the length of the longest strip. b. How many strips can be cut from the ribbons? 6. Fill in the blanks. a. The HCF of two co-prime numbers is \_\_\_\_\_\_\_. b. If ' $c$ ' is a multiple of ' $d$ ', their HCF is \_\_\_\_\_\_\_. c. The HCF of any two consecutive numbers is \_\_\_\_\_\_\_.

उत्तर: a. बर्तन की अधिकतम धारिता = $50\text{ litres}$ b. कुल फेरों की संख्या = $36$

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