When should we use HCF and LCM?

When should we use HCF and LCM?

When we have to find a number larger than given numbers, then we find LCM. If we have to find smaller number, then we find HCF .

When would you use HCF in real life?

Optimization of resource: You can use HCF to estimate the minimum number of square towels that can be cut from a ream of cloth of a certain length and width without wasting any cloth. Arrange things in rows and groups: To store things in a neat and orderly manner, we can use the concept of HCF.

How do you know if the LCM is correct?

Look for multiples common to both lists. If there are no common multiples in the lists, write out additional multiples for each number. Look for the smallest number that is common to both lists. This number is the LCM.

Who invented LCM and HCF?

Euclid discovered the method for finding the HCF.

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How do you read HCF and LCM?

The least common multiple (LCM) of two or more numbers is the smallest number among all the common multiples of the given numbers, whereas, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.

What is the difference between a LCM and a HCF?

Concept of LCM,HCF important for number theory and remainder based problems (generally asked in SSC CGL,CAT.)

  • LCM is important for time and speed,time and work problems.
  • LCM is also important for circular racetracks,bells,blinking lights,etc.
  • HCF is important for largest size of tiles,largest size of tape to measure a land etc.
  • What is the relation between LCM and HCF?

    Conclusion: The product of the HCF and LCM of two numbers is the same as the product of the numbers themselves. Views · View 5 Upvoters. , works at V5 Systems (2017-present) HCF of few(lets consider 2 for now) numbers is nothing but a maximum number which can divide all the numbers with reminder being zero.

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    What is the physical meaning of LCM and HCF?

    The H.C.F . defines the greatest factor present in between given two or more numbers, whereas L.C.M. defines the least number which is exactly divisible by two or more numbers. H.C.F. is also called the greatest common factor (GCF) and LCM is also called the Least Common Divisor.

    How to calculate HCF?

    Write down each number as the product of its prime factors.

  • Now,list down the common factors from the given numbers.
  • The largest number,which is found in the common factors is the HCF of the given numbers.