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The LCM of two numbers is 210 and their HCF is 14. How many such pairs are possible?

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The LCM of two numbers is 210 and their HCF is 14. How many such pairs are possible?

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Let the numbers be 14x and 14y

14x × 14y = 14 × 210

⇒ xy = 210/14 = 30/2 = 15

x = 1, y = 15; x = 3, y = 5

(14, 210), (42, 70) Two pairs

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