Question

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 an exact number of times.

Answer 1

Weight of the first fertilizer bag = $75$ kgs

Weight of the second fertilizer bag =$69$ kgs

The H.C.F of $75$and$69$ is the highest weight that can evaluate the exact number of times of the fertilizer.

The highest Common Factor or HCF is the largest common divisor or gcd of two or more positive integers, as the mathematics rules dictate, appears to be the largest positive integer that divides the numbers without leaving a remainder.

For finding maximum weight, we have to find H.C.F. of $75$and $69$

Factors of $75=3x5x5$

Factors of$69=3x23$

H.C.F of $69$ and $75$ is $\mathbf{3}$

Hence, the maximum weight value is $\mathbf{3}$ kg, which can calculate the same number of times the weight of the fertilizer.