Question

1.Find the HCF of the following numbers using prime factorization method: a) 60 and 48 b) 77 and 121 c) 63, 84 and 105 2.Find the LCM of the following numbers using prime factorization method: a) 25, 30 and 75 b) 48 and 64 c) 81,126 and 252 3. Find the LCM of the following numbers by Division method: a) 20 and 35 b) 90, 108 and 144 c) 14, 40 and 70 4. The product of two numbers is 210 and their HCF is 15. Find the LCM of the numbers. 5. Find the HCF of the numbers 12 and 16 if their LCM is 48. . 6.Write all the pairs of numbers whose LCM is 20. 7. Write two pair of numbers whose HCF is 4. 8. The product of the HCF and LCM of 2 numbers is 104. if one number is 13 then find the other number. 9. Fill in the blanks with appropriate answers a) ---------- is the HCF of two consecutive numbers. b) --------- is the LCM of the smallest composite number and 10. c)---------- is the HCF of two co prime numbers. d) The -------- of the numbers is the LCM of two consecutive numbers. e) The other name of HCF is _____________. 10) Choose the correct option and fill in the blanks: a) All the given numbers are divisible by their _______ . i) HCF ii) LCM b) The highest among all the common factors is called their ______. i) GCD II) LCM. I have publish 12 points​

Answer 1

Answer:

To find highest common factor by using division method is discussed here.

Finding highest common factor (H.C.F) by prime factorization for large number is not very convenient. The method of long division is more useful for large numbers.

In this method we first divide the greater number by the smaller number. The remainder becomes the new divisor and the previous divisor as the new dividend. We continue the process until we get 0 remainder.

We use the repeated division method for finding highest common factor (H.C.F) of two or more numbers.