6.A = 23 × 3 × 5 B = 22 × 3 × 52
Write down the highest common factor (HCF) of A and B.Required to answer. Single line text.
(1 Point)

Answers

Answer 1

Given:

The two numbers are

[tex]A=23\times 3\times 5[/tex]

[tex]B=22\times 3\times 52[/tex]

To find:

The highest common factor (HCF) of A and B

Solution:

We have,

[tex]A=23\times 3\times 5[/tex]               ...(i)

[tex]B=22\times 3\times 52[/tex]

All the factors of A are prime but the factors of B are not prime. So, it can be written as

[tex]B=2\times 11\times 3\times 13\times 2\times 2[/tex]          ...(ii)

From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,

[tex]HCF(A,B) = 3[/tex]

Therefore, the highest common factor (HCF) of A and B is 3.


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9514 1404 393

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The other part is the remaining 5/8 of the total, so is ...

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Answers

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