If 14 is the HCF of 4 p and 21 q- then minimum value of p and q are-A- 1B- 2- xC- No common factors existD- 2

The correct option is A 1 Since 14 is HCF of 4p and 21q, then nbsp;both of them should have 7 and 2 as prime factors. 4p = 2 x 2 nbsp;x p nbsp; 21q = 3 x ...

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Standard VIII

Mathematics

Factorisation by Common Factors

If 14 is the ...

Question

If 14 is the HCF of 4p and 21q, then minimum value of p and q are:

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2, x

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No common factors exist

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Solution

The correct option is A
1

Since 14 is HCF of 4p and 21q, then both of them should have 7 and 2 as prime factors.
4p = 2 x 2 x p
21q = 3 x 7 x q
Since 14 is the HCF, p should be 7 and q should be 2.

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If 14 is the HCF of 4p and 21q, then minimum value of p and q are:

The correct option is A 1 Since 14 is HCF of 4p and 21q, then both of them should have 7 and 2 as prime factors. 4p = 2 x 2 x p 21q = 3 x 7 x q Since 14 is the HCF, p should be 7 and q should be 2.

The correct option is A
1

Since 14 is HCF of 4p and 21q, then both of them should have 7 and 2 as prime factors.
4p = 2 x 2 x p
21q = 3 x 7 x q
Since 14 is the HCF, p should be 7 and q should be 2.