Q. 14.3( 89 Votes )

# Renu purchases two bags of fertiliser of weights 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertiliser exact number of times.

Answer :

Weight of the two bags = 75 kg and 69 kg

Maximum weight = HCF (75, 69)

75 = 3 × 5 × 5

69 = 3 × 23

HCF = 3

Therefore, the maximum value of weight, which can measure the weight of the fertilizer exact number of time, is 3 kg.

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RELATED QUESTIONS :

Find the HCF of the following numbers:

(a) 18, 48 (b) 30, 42

(c) 18, 60 (d) 27, 63

(e) 36, 84 (f) 34, 102

(g) 70, 105, 175

(h) 91, 112, 49 (i) 18, 54, 81

(j) 12, 45, 75

NCERT - MathematicsThe HCF of two or more given numbers is the highest of their common_____.

NCERT - Exemplar MathematicsThe HCF of two numbers is smaller than the smaller of the numbers.

HCF of two or more numbers may be one of the numbers.