Renu purchases two bags of fertilizer of weights 75 kg and 69 kg. The maximum value of weight which can measure the weight of the fertilizer exact number of times is {fill _number} $kg$ .

Question

Renu purchases two bags of fertilizer of weights 75 kg and 69 kg. The maximum value of weight which can measure the weight of the fertilizer exact number of times is {fill _number} kg.

Accepted Answer

Concept- The maximum value of weight which can measure the weight of the fertilizer exact number of times is 3kg. In this question, two quantities are provided, and the greatest value must be determined. Therefore, to answer this query, we employ the HCF (Highest Common Factor) theory.
To properly understand HCF, let's first talk about what a number's factor is.
Factors: Factors of a given number are those that divide it entirely, that is, without leaving any remainder. For instance,

1, 2, 3, 4, and 6 are all equal to 12 .

Think about the numbers

30 (2 \times 3 \times 5) 18 (2 \times 3 \times 3) 42, (2 \times 3 \times 7) and 60

, for instance

(2 \times 2, \times 3, \times 5) .

The highest common factor (HCF) for each of these integers is 3, which is also the largest number that divides each of them.
HCF is another name for the greatest common factor