Question

A shopkeeper prepares 396 gulabjamuns and 342 rasgullas. He packs them into containers. Each container consists of either gulab jamun or rasgulla, but have equal number of pieces. Find the number of pieces. Find the number of pieces he should put in each container so that numbers of containers are least.

Answer 1

Given :In this we should find the number peices to be filed in each bag for which least bags are to be filled without leaving any peice of gulab jam or rasgulllas

So:Here we should find highest common factor so this gives more pieces so if pieces are more in each bag then required bags will be less bags

Saolution:342=2x3x3x19

396=2x2x3x3x11

Here: we got 2x3x3 as common in both factors

so we got 18 is highest common

Therefore no of peices should be filled in a pack is 18 for which no of packs will be less

342=2×3×3×19 396= 2×2×3×3×11 Here, we got 2×3×3 common So,HCF =18 therefore the number of pieces filled is 18.