Question

what is the greatest weight that can measure exactly two heaps containing 1050 kg and 825 kg of grains respectively .
anwer correctly ✔️✔️✔️✔️​

Answer 1

Answer:

Step-by-step explanation:

We have two heaps 1050 kg and 825 kg of grain respectively.

In order to find the greatest weight that can measure exactly the two heaps of grain, we need to find the H.C.F. of the weights of the grain.

So,

1050 = 2 * 3 * 5 * 5 * 7 * 1

825 = 3 * 5 * 5 * 11 * 1

The common factors of 1050 & 825 are 3 * 5 * 5.

∴ H.C.F. = 3 * 5 * 5 = 75 kg

Thus, 75 kg weight is the greatest weight that can measure exactly two heaps of grains.