TNPSC Group IV · Aptitude and Mental Ability Test

HCF and LCM

Highest common factor and lowest common multiple problems.

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  • Q1 · HCF and LCM · EASY

    Find the HCF of 24 and 36.

  • Q2 · HCF and LCM · MEDIUM

    The LCM of two numbers is 120 and their HCF is 10. If one number is 40, find the other number.

  • Q3 · HCF and LCM · MEDIUM

    Three bells ring at intervals of 9, 12 and 15 minutes respectively. If they ring together at 8:00 AM, at what time will they ring together again?

  • Q4 · HCF and LCM · MEDIUM

    Find the smallest number which when divided by 12, 15, and 20 leaves a remainder of 5 in each case.

  • Q5 · HCF and LCM · HARD

    The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, find the other number.

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