On her birthday, Jyothsna received three different cakes of weight 3kg, 2.6 kg and 2kg from her father, mother and sister respectively. She cut the three cakes into pieces of equal weights with out any remainder. Find the minimum number of pieces that she can get from the three cakes.

Answer

38

Explanation

Converting kg into gm:
3kg=3000 gm
2.6 kg=2600 gm
2 kg=2000 gm
HCF of 3000,2600,2000 is
`3000=3xx2^(3)xx5^(3)`
`2600=2^(3)xx5^(2)xx13`
`2000=2^(4)xx5^(3)`
`HCF=2^(3)xx5^(2)=8xx25=200 gm`
`:.` The minimum number of pieces that Bhavagna get from the three cakes.
`=(3000)/(200)+(2600)/(200)+(2000)/(200)=15+13+10=38`