Question

There are 312 mango bites, 260 eclairs, &156 coffee bites in a box. There are to be put in packets so that each packets contains same number of toffee. Find the maximum number of toffee in each packets

Answer 1

Hey!!!!

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Maximum number of toffee in each packet
=> HCF(312,260,156)

Thus by Prime Factorisation Method

=> 312 = 2³ x 3 x 13

=> 260 = 2² x 5 x 13

=> 156 = 2² x 3 x 13

Thus HCF = 2² x 13

=> HCF = 52

Thus 52 toffees can be packed in each packet.

The question was very chocolatey

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Hope this helps ✌️

Answer 2

Given that,

Number of mango bites are 312

Number of eclairs are 260

Number of coffee are 156

To find,

The maximum number of toffee in each packets.

Solution,

To find the maximum number of toffee in each packets, we must know that HCF of 312, 260 and 156.Using prime factorization method.

Prime factorisation of 312 = $2\cdot2\cdot2\cdot3\cdot13$

Prime factorisation of 260 = $2\cdot2\cdot5\cdot13$

Prime factorisation of 156 = $2\cdot2\cdot3\cdot13$

HCF is : $2\cdot2\cdot13=52$

So, the maximum number of toffee in each packets are 52.