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

Solution:

We will use the concept of the HCF(Highest Common Factor) to solve this.

To determine the maximum value of weight which can measure the given weight an exact number of times, we will find the HCF of 75 kg and 69 kg.

Let us find the prime factors of 75 and 69 using prime factorization.

75 = 3 × 5 × 5

69 = 3 × 23

Here we observe that the common factor of 75 and 69 is 3.

Therefore HCF of 75 and 69 = 3.

Hence, the required maximum value of weight that can measure the given weight an exact number of times is 3 kg.

You can also use the HCF Calculator to answer this.

NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.7 Question 1

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

Summary:

If Renu purchases two bags of fertiliser of weights 75 kg and 69 kg, the maximum value of weight which can measure the given weight exact number of times is 3 kg.

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