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TCS NQT GuideTCS NQT Numerical AbilityHCF and LCM Problems for TCS NQT

HCF and LCM Problems for TCS NQT

Learn core concepts, essential formulas, and attempt practice questions designed on the latest TCS NQT testing patterns.

Key Concepts & Formulas

  • 1HCF (Highest Common Factor): Greatest number that divides all given numbers.
  • 2LCM (Least Common Multiple): Smallest number divisible by all given numbers.
  • 3Product Formula: Product of two numbers = HCF × LCM.
  • 4Fractions Rule: HCF of fractions = HCF of Numerators / LCM of Denominators.
  • 5Fractions Rule: LCM of fractions = LCM of Numerators / HCF of Denominators.

TCS NQT Style Practice Questions

Practice Question 1

The HCF of two numbers is 12 and their LCM is 72. If one of the numbers is 24, find the other.

A) 36
B) 48
C) 18
D) 72

Correct Answer: A) 36

Step-by-step Solution: Product of two numbers = HCF × LCM. Let the other number be x. 24 * x = 12 * 72 => x = (12 * 72) / 24 = 36.

Practice Question 2

Find the HCF of 2/3 and 8/9.

A) 2/9
B) 8/3
C) 2/3
D) 8/9

Correct Answer: A) 2/9

Step-by-step Solution: HCF of fractions = HCF(2, 8) / LCM(3, 9). HCF of 2 and 8 is 2. LCM of 3 and 9 is 9. Thus, HCF = 2/9.

Study Pro-Tip

Always remember that the HCF of any two prime numbers is always 1.

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