Question

How do we find HCF and LCM in a word problem?

Answer 1

First we find the least common multiple (L.C.M.) of 28, 36 and 45.

Therefore, least common multiple (L.C.M.) of 28, 36 and 45 = 2 × 2 × 3 × 3 × 5 × 7 = 1260.

Therefore, the required number = 1260 - 19 = 1241.

Highest common factor (H.C.F.) of 90 and 162 = 18.

Relationship between H.C.F. and L.C.M.

Answer 2

Answer:

To find HCF we follow the following steps

Step 1: Divide the largest number by the smallest number

Step 2: Take divisor as new dividend and remainder as the new divisor, i.e. divide the first divisor by the first remainder.

Step 3: Proceed till the remainder is zero and the last divisor will be the HCF of the given numbers.

For example : Find the HCF of 24 and 12

There are two methods of prime factorization:-

(i) Division method

(ii) Factor three method

We are solved by division method, there are some steps are following given below

The prime factorization of 12 and 24 by division method

                                                    H.C.F = 2 x 2 x 3

To find LCM we follow the following steps:

Find the least common multiple (LCM) of two numbers by listing multiples

List the first several multiples of each number.

Look for multiples common to both lists. ...

Look for the smallest number that is common to both lists.

This number is the LCM.

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