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Find the HCF of two numbers whose LCM is 38 and product of those two numbers is 266 ?
  • a)
    4
  • b)
    5
  • c)
    6
  • d)
    7
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Find the HCF of two numbers whose LCM is 38 and product of those two n...
LCM*HCF = product of two numbers
(38)*HCF = 266
HCF = 7
So the answer is option D.
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Most Upvoted Answer
Find the HCF of two numbers whose LCM is 38 and product of those two n...
LCM*HCF = product of two numbers
(38)*HCF = 266
HCF = 7
So the answer is option D.
Free Test
Community Answer
Find the HCF of two numbers whose LCM is 38 and product of those two n...

Step 1: Find the prime factors of 266

- The prime factors of 266 are 2, 7, and 19 (266 = 2 x 7 x 19).

Step 2: Find the prime factors of LCM

- Given that the LCM of the two numbers is 38, the prime factors of 38 are 2 and 19 (38 = 2 x 19).

Step 3: Determine the common prime factors

- The common prime factors between 266 and 38 are 2 and 19.

Step 4: Calculate the HCF

- The HCF is calculated by multiplying the common prime factors of the two numbers, which is 2 x 19 = 38.

Therefore, the HCF of the two numbers is 38, which corresponds to option 'D'.
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Find the HCF of two numbers whose LCM is 38 and product of those two numbers is 266 ?a)4b)5c)6d)7Correct answer is option 'D'. Can you explain this answer?
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