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Samuel bought 148 pearl-colored beads and 36 strings from a shop. He wants to make a certain number of necklaces using a combination of the beads and the strings, with no pieces left over. What is the greatest number of necklaces he can make?

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opudodennis

Answer:

4 necklaces

Step-by-step explanation:

This questions test our knowledge of highest common factor.

-We find the value that goes into 148 and 36 at the same time:

[tex]148=2\times 2\times37\\\\36=2\times2\times 3\times 3\\\\\therefore HCF=2\times 2=2^2=4[/tex]

Since the HCF is 4, the greatest number of necklaces he can make is 4