Advertisements
Advertisements
Question
The LCM of two numbers is 1200, show that the HCF of these numbers cannot be 500. Why ?
Solution
If the LCM of two numbers is 1200 then, it is not possible to have their HCF equals to 500. Since, HCF must be a factor of LCM, but 500 is not a factor of 1200.
APPEARS IN
RELATED QUESTIONS
What do you mean by Euclid’s division algorithm?
Show that every positive integer is either even or odd?
Find the least number which when divides 35, 56 and 91 leaves the same remainder 7 in each case.
In a morning walk three persons step off together, their steps measure 80 cm, 85 cm and 90 cm respectively. What is the minimum distance each should walk so that he can cover the distance in complete steps?
Show that the following numbers are irrational.
The remainder when the square of any prime number greater than 3 is divided by 6, is
Show that every positive odd integer is of the form (4q + 1) or (4q + 3), where q is some integer.
When the positive integers a, b and c are divided by 13, the respective remainders are 9, 7 and 10. Show that a + b + c is divisible by 13
Show that 107 is of the form 4q +3 for any integer q
The largest number that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively is ______.
