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Examples: Applications of HCF and LCM - 4 Video Lecture - CTET & State TET

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FAQs on Examples: Applications of HCF and LCM - 4 Video Lecture - CTET & State TET

1. What is the application of HCF and LCM in real life?
Ans. The applications of HCF (Highest Common Factor) and LCM (Least Common Multiple) in real life include scenarios like scheduling events, calculating fractions, finding the least number of items needed to distribute equally, and determining the time at which two events will occur simultaneously.
2. How can HCF and LCM be used in event scheduling?
Ans. HCF and LCM can be used in event scheduling to find the least common multiple of the time intervals required for each event. This ensures that all events occur simultaneously at the least common multiple of their time intervals.
3. Can HCF and LCM be used to simplify fractions?
Ans. Yes, HCF and LCM can be used to simplify fractions. By finding the highest common factor of the numerator and denominator, you can divide both by this factor to simplify the fraction. Similarly, finding the least common multiple of the denominators of two fractions allows you to find a common denominator for addition or subtraction.
4. How can HCF and LCM help in distributing items equally?
Ans. HCF can be used to determine the largest quantity in which a given number of items can be divided equally. On the other hand, LCM can be used to find the least number of items needed to distribute them equally among a group. These concepts are particularly useful in scenarios like dividing resources, sharing food, or allocating seats.
5. Can HCF and LCM be used to find the time at which two events occur simultaneously?
Ans. Yes, HCF and LCM can be used to find the time at which two events occur simultaneously. By finding the least common multiple of the time intervals at which each event occurs, you can determine the time when both events will happen together. This can be helpful in scenarios like coordinating meetings or synchronizing actions.
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