Now, in the Case of the Factorization method, an individual can express the given number as the product of the prime factory. So, there are two methods to find the HCF of the given number one is the Factorization Method. So, the HCH of two or more numbers is the Greatest Number. Highest Common Factor (HCF) or Greatest Common Measure (GCM) or Greatest Common Divisor (G.C.D.)

And then b is considered as the multiple of a. Now, suppose A is divided by another number B exactly, then a is called a factor of b. Understanding and studying these concepts will in solving this chapter as well as help in solving some topics in other chapters.★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ Factors and Multiples Generally 5 types of questions are asked in this chapter. The resultant fraction with the greatest numerator is greatest. as denominator, by multiplying both numerator and denominator by same number. Convert each fraction into equivalent fraction with L.C.M. In the result, mark off as many decimal places as there are in each of the given number.Ĥ) Comparison of fractions: Find L.C.M. of 0.5, 1.6, etc, consider these numbers without decimal point i.e 5, 16 and solve using normal methods used to determine H.C.F. of three or more numbers are given, then this rule is not applicable.ģ) H.C.F. This condition is only true for two given numbers. of two or more numbers is greater than or equal to greatest number of given numbers.Ģ) Product of two numbers = Product of their H.C.F. of two co-prime numbers, just multiply the given two numbers.ī) The L.C.M. Quick Revision of prime numbers, composite numbers and co-prime numbers is given below:Ī) It is the greatest number which exactly divides all the given numbers.ī) The H.C.F of two or more numbers is smaller than or equal to the smallest number of given numbers.Ĭ) H.C.F of given numbers divides their L.C.M.ĭ) Two numbers are said to be co-prime if their H.C.F. Knowing basics will help in understanding this chapter. The least number exactly divisible by each one of the given numbers is called least common multiple.ġ) Before studying this chapter, make sure that the basic concepts of numbers (prime numbers, composite numbers, co-prime numbers, etc) are perfectly understood. H.C.F of two or more numbers is the greatest number which divides each number exactly.ĥ) L.C.M.: (Lowest common multiple). concept is useful in calculating the largest size of tile/room in particular area, largest tape to measure the land, etc.ġ) Factors: Factor is a number which exactly divides other number.Ģ) Multiple: A number is said to be multiple of another number, when it is exactly divisible by other number.ģ) Common multiple: A common multiple of two or more numbers is a number which is exactly divisible by each of them.Įxample: 18 is a common multiple of 2,3,6 and 9Ĥ) H.C.F/G.C.F: (Highest Common Factor / Greatest Common Factor). concept is important to solve problems related to racetracks, traffic lights, etc. L.C.M and H.C.F of two or more numbers help in finding out quick solutions and thus reduce time during exams.

This concept is useful in the chapters of time and distance, time and work, pipes and cisterns, etc. The chapter of H.C.F and L.C.M is very important. Video on Problems on H.C.F and L.C.M - shortcuts, tips and tricks H.C.F and L.C.M of numbers Why is H.C.F and L.C.M important?

Problems on hcf and lcm pdf