There are 3 drums containing 24 L,36 L and 48 L of diesel. Find the capacity of the largest can that can measure the diesel in the three drums.
Answers
Given : There are three drums containing 24 litre ,36 litre and 48 litre of diesel.
To Find: the capacity of the largest can that can measure the diesel in the three drums exact number of times.
Solution:
Sizes of drum in liter
24 , 36 and 48
To find size of largest can in liters need to find HCF of 24 , 36 and 48
HCF ( 24 , 36 , 48)
24 = 2 * 2 * 2 * 3 = 2³ * 3¹
36 = 2* 2 * 3 * 3 = 2² * 3²
48 = 2* 2* 2 * 2 * 3 = 2⁴ * 3¹
HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.
HCF = product of common factors of least power
HCF = 2² * 3¹ = 12
size of largest can = 12 liter
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