there are 312 Mango Bite 268 eclairs and 156 coffee bite in a box. These are to put in a packet so that each packet contains the same number of toffees find the maximum number of toffees in each packet
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Find the prime factors:
312 = 2³ x 3 x 13
268 = 2² x 67
156 = 2² x 3 x 13
Find the HCF:
HCF = 2² = 4
Number of toffees in a packet:
Type of toffee = 3
Number of each toffee = 4
Number of toffees in each packet = 3 x 4 = 12
Answer: There can be a maximum of 12 toffees in each packet.
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