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    The HCF of two numbers is 7 and their LCM is 434. If one of the numbers is 14, find the other.
    Question

    The HCF of two numbers is 7 and their LCM is 434. If one of the numbers is 14, find the other.

    A.

    146

    B.

    217

    C.

    52

    D.

    48

    Correct option is B

    Given:
    HCF of the two numbers = 7
    LCM of the two numbers = 434
    One of the numbers = 14
    Formula Used:
    Product of two numbers = HCF × LCM
    Solution:
    Let the other number be b.
    Substitute the values into the formula:
    14×b=7×43414 × b = 7×434
    b=7×43414b = \frac{7 \times 434}{14}​​
    b=217b = 217​​
    Thus, The other number is 217.

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