Page 182 - Demo

Arrow-Puffin-4_Semester-1 Maths 181Example 2 : Find the H.C.F. of 42 and 78.Solution : 4 2 7 8 1 4 2 3 6 4 2 1 3 6 6 3 6 6 3 6 0 Here, the last divisor is 6. Hence, the H.C.F. of 42 and 78 is 6.Find the HCF of the following numbers by long division method.1) 45, 36 2) 40, 75 3) 72, 844) 24, 64 5) 96, 128 6) 27, 457) 44, 110 8) 81, 117 9) 18, 24, 2710) 18, 45, 36L.C.M. BY SHORT DIVISION METHODLet's Understand Conceptual UnderstandingWe proceed as below :1. Arrange the given numbers in a line, in any order.2. Divide by a number which exactly divides at least two of the given numbers and carry forward the numbers which are not divisible.3. Repeat the process till none of the two given numbers are divisible by the same number.4. The product of all the divisors and numbers left undivided is the required LCM.Properties of L.C.M.%u2022 The L.C.M. of two co-prime numbers is their product.%u2022 If one number is the multiple of the other, then their L.C.M. is the greater number.%u2022 The L.C.M. of two or more numbers cannot be less than any one of them. Let's Practise 5.7 Application