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The LCM of two numbers is 1200. Show that the HCF of these numbers cannot be 500. Why ?

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प्रश्न

The LCM of two numbers is 1200. Show that the HCF of these numbers cannot be 500. Why ?

संख्यात्मक
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उत्तर

If the LCM of two numbers is 1200 then, it is not possible to have their HCF equals to 500.

Since, HCF must be a factor of LCM, but 500 is not a factor of 1200.

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अध्याय 1: Real Numbers - EXERCISE 1E [पृष्ठ ३८]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 1 Real Numbers
EXERCISE 1E | Q 17. | पृष्ठ ३८
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