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

To solve this problem, we apply the concept of HCF (Highest Common Factor).

We are asked to find the maximum weight that can exactly measure both 75 kg and 69 kg. This is equivalent to finding the HCF of 75 and 69.

Step 1: Prime factorization

• 75=3×5×5
• =3×23

Step 2: Identify common factors

• The only common factor between 75 and 69 is 3.

So,

HCF(75,69)=3

Final Answer

The maximum weight that can measure both 75 kg and 69 kg exactly is 3 kg.