Problems on LCM & HCF Quiz Online Test – Aptitude Questions and Answers

Problems on L.C.M and H.C.F Quiz

Take Problems on LCM and HCF Quiz Online Test right now through this post. Well, in the Aptitude Section, one of the well known and mostly asked areas are LCM and HCF. And many of the aspirants who are prepping for different kinds of Exams like the Staff Selection Commission, UPSC, SSSB, Police, Banks, Railways, RRB, IBPS, and many other Entrance Tests or Recruitment Tests can use the help. Well, preparing for the Problems on L.C.M and H.C.F Quiz is not that difficult task. All you have to know is some tricks and shortcuts. That’s it. In no time you can surely top it. Now, through this post, we are going to provide information about the lcm and hcf problems with solutions pdf, lcm and hcf formulas, hcf and lcm problems, hcf and lcm aptitude tricks, lcm problems with solutions, lcm and hcf problems for bank po. Check further.

Problems on LCM and HCF Quiz

Quiz Name Problems on L.C.M and H.C.F
Category Aptitude
Number of Questions 25
Time 30 Minutes
Exam Type MCQ (Multiple Choice Questions)

Problems on LCM and HCF Online Test – Practice Now

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1. H.C.F. of 513, 1134 and 1215 is _____________

2. The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

3. The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

4. HCF of 3/16, 5/12, 7/8 is:

5. The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:


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Problems on LCM and HCF Aptitude

Factors and Multiples

Now, suppose A is divided by another number B exactly, then a is called a factor of b. And then b is considered as the multiple of a.

Highest Common Factor (HCF) or Greatest Common Measure (GCM) or Greatest Common Divisor (G.C.D.)

So, the HCH of two or more number is the Greatest Number. And it divides them exactly. So, basically, there are two methods to find the HCF of the given number one is Factorization Method. Another is Division Method. Now, in the Case of the Factorization method, an individual can express the given number as the product of the prime factory. So, the product of the Least powered prime factors will give you the HCF. Now, to find the HCF of two give number, first, divide the Larger by the smaller. Then proceed and divide the divisor by the remainder. Now, continue this process till you get Remainder as Zero. So, now the last divisor is the HCF.

Problems on LCM and HCF Tricks and Shortcuts

Now, finding HCF for more than two number or three numbers then following is the method

H.C.F [(HCF of two number) and (third Number)]

Now, in the same manner, an individual can get the HCF for more than three number too. Well, now coming to the case of the LCM. It is known as the Least Common Multiple. So, the least number that can exactly divisible by any of the given number is known as the LCM. Well, for calculating the LCM, there are also two different methods. Factorization as well as the Division method. Check the following set of Terms and Formulae.

  • The product of two numbers = Product of their H.C.F. and L.C.M.
  • Co-primes: Two numbers are said to be co-primes if their H.C.F. is 1.

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