Tricks to Find HCF & LCM : Quantitative Aptitude SSC Study Material

How to Find HCF and LCM of numbers Easily, here is a Trick to Find HCF and LCM within Seconds in SSC, UPSC Competitive Examinations

Trick to Find HCF and LCM

Trick to Find HCF - Highest Common Factor

Lets find out HCF of  90 and 126

1. Put Higher number as dividend and lower number as divisor
     Dividend - The number which has to be divided
     Divisor - The number with which the dividend has to be divided

In this case the higher number 126 is dividend and lower number 90 is divisor

                    90|126
                           90
                        ------
                           36

2. Put the divisor as dividend and reminder as divisor in next step.
    Here 90 is dividend and 36 is divisor

                         36| 90
                               72
                             -----
                               18

3. Repeat the step 2 until the reminder becomes zero

                             18| 36
                                   36
                                  ----
                                    0

4. Then HCF will be the last divisor. In this case HCF of 90 and 126 is 18

If More than two number's HCF is to be find out 

First dividend is the highest number and first divisor is the second largest number. After finding first two numbers HCF the new dividend will be the next lowest number and the divisor will be the HCF of first two highest numbers.

Trick to Find LCM - Least Common Factor

To Find LCM division method is used

Eg : Let's find out LCM of  9, 48 , and 21

1. Find out the Common factor

   Here both 9, 48, 21 are divisible by 3 (How to Check Divisibility of a Number)

              3 | 9, 48, 21
                 ------------
                   3, 16, 7

2. Find Common factor for the divisors 3, 16, 7

    No common factor for 3, 6, 7

 So LCM = 3*3*16*7 = 1008

Another Eg : 72, 240, 196


                  2| 72, 240, 196
                    ----------------
                   2|36, 120, 98
                     ---------------
                    2|18, 60,   49
                      --------------
                      3| 9, 30,   49          If the third number(49) is not divisible by 2 put it as 49
                        -------------
                          3,  10,  49

LCM = 2*2*2*3*3*10*49 = 35280


If you have any doubts regarding divisibility of a number please feel free to ask through the commenting system

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Careerdune Free PSC Study Materials Question Bank Mock Tests: Tricks to Find HCF & LCM : Quantitative Aptitude SSC Study Material
Tricks to Find HCF & LCM : Quantitative Aptitude SSC Study Material
How to Find HCF and LCM of numbers Easily, here is a Trick to Find HCF and LCM within Seconds in SSC, UPSC Competitive Examinations
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