Sunday, June 5, 2016

Tricks to Solve HCF and LCM Questions (Important Facts and Formula)

Tricks to Solve HCF and LCM Questions (Important Facts and Formula)
Tricks to Solve HCF and LCM Questions (Important Facts and Formula) for Bank, SSC, Railway and Other Government Job related Competitive Exam. HCF and LCM questions are commonly asked in all the Competitive Exam. In this Article we will Discuss some Tricks to Solve HCF and LCM Questions Quickly.

I.  Factors and Multiples : If a number a divides another number b exactly, we say that a is a factor of b. In this case, b is called a multiple of a.

II. Highest Common Factor (H.C.F.) or Greatest Common Measure (G.C.M.) or Greatest Common Divisor (G.C.D.): The H.C.F. of two or more than two numbers is the greatest number that divides each of them exactly.
   There are two methods of finding the H.C.F. of a given set of numbers :

1.  Factorization Method : Express each one of the given numbers as the product of prime factors.The product of least powers of common prime factors gives H.C.F.

2.  Division Method: Suppose we have to find the H.C.F. of two given numbers. Divide the larger   number by the smaller one. Now, divide the divisor by the remainder. Repeat the process of dividing the preceding number by the remainder last obtained till zero is obtained as remainder. The last divisor is the required H.C.F. 

Finding the H.C.F. of more than two numbers : Suppose we have to find the H.C.F. of three numbers. Then, H.C.F. of [(H.C.F. of any two) and (the third number)] gives the H.C.F. of three given numbers. Similarly, the H.C.F. of more than three numbers may be obtained.

III.  Least Common Multiple (L.C.M.) : The least number which is exactly divisible by each one of the given numbers is called their L.C.M.

1.  Factorization Method of Finding L.C.M.: Resolve each one of the given numbers into a product of prime factors. Then, L.C.M. is the product of highest powers of all the factors,

2.  Common Division Method {Short-cut Method) of Finding L.C.M.: Arrange the given numbers in a row in any order. Divide by a number which divides exactly at least two of the given numbers and carry forward the numbers which are not divisible. Repeat the above process till no two of the numbers are divisible by the same number except 1. The product of the divisors and the undivided numbers is the required L.C.M. of the given numbers,

IV. Product of two numbers =Product of their H.C.F. and L.C.M.

V. Co-primes: Two numbers are said to be co-primes if their H.C.F. is 1.

VI. H.C.F. and L.C.M. of Fractions:

1.H C F= H.C.F. of Numerators        2.L C M =      L.C.M  of Numerators
                L.C.M. of Denominators                         H.C.F. of Denominators

VII. H.C.F. and L.C.M. of Decimal Fractions: In given numbers, make the same number of decimal places by annexing zeros in some numbers, if necessary. Considering these numbers without decimal point, find H.C.F. or L.C.M. as the case may be. Now, in the result, mark off as many decimal places as are there in each of the given numbers.

VIII. Comparison of Fractions: Find the L.C.M. of the denominators of the given fractions. Convert each of the fractions into an equivalent fraction with L.C.M. as the denominator, by multiplying both the numerator and denominator by the same number. The resultant fraction with the greatest numerator is the greatest.

Quantitative Aptitude Study Materials PDF

1000+ Number Series Asked in Previous Year Bank Exam pdf  - Download

100+ Speed Math Short Tricks Book PDF Free Download - Download

Speed Math Techniques for Data Interpretation PDF Download  - Download

200+ High Level Missing Data Interpretation Questions pdf  - Download

200 Important Quadratic Equation Questions PDF Download  - Download

150+ High Level Multiple Diagram Data Interpretation Download  - Download

Quantitative Aptitude Short Notes Book PDF Free Download  - Download

Kiran Publication Bank Clerk Numerical Ability Book pdf Download  - Download

250 Important Quadratic Equation Questions PDF Free Download  - Download

How to Join bank4success Telegram Group for Discussion 

Step - 1. Download Telegram App From Play store.

Step - 2. Login with Your Mobile Number.

Step - 3. Search @ibpsexamaspirants In the Search Box to Join Group.

Step - 4. You Can Directly Click Here to Join Group.

Step - 5 You can Discuss Your Doubts directly with Brajesh Sir.

Join bank4success Telegram Channel Now


Post a Comment