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180 Arrow-Puffin-4_Semester-1 MathsH.C.F. BY LONG DIVISION METHODLet's Understand Conceptual UnderstandingTo find the HCF of two or three given numbers, divide the greater number by the smaller one. Then divide the divisor by the remainder. Go on repeating the process of dividing the preceding divisor by the remainder, till zero remainder is obtained. The last divisor is the HCF of the given numbers.Properties of H.C.F.%u2022 The H.C.F. of two or more numbers cannot be greater than any one of them.%u2022 If a number is a factor of another number, then their H.C.F. is the smaller number.Example 1 : Find the H.C.F. of 20 and 36.Solution : 2 0 3 6 1 2 0 1 6 2 0 1 1 6 4 1 6 4 1 6 0 Here, the last divisor is 4. Hence, the H.C.F. of 20 and 36 is 4.4) 105 5) 120 6) 150