difficult HCF problem and lcm problems

The following are the exercise questions in a school which I find difficult to solve for children please any body help me solve for the children.

Q1) Find the greatest number which divides 2300 and 3500 leaving 32 and 56 respectively, as remainders?

Q2) A room is 11m 15 cm long and 8m 91cm broad. The flour of the room is to be paved with square tiles. Find the length of the largest tile that can be used?

Q3) Find two numbers between 100 and 150 that have an HCF of 24.?

ANSWERS: Q1)84 Q2)81cm Q3) 120 and 144

Q4) find the least number between 200 and 500 which leaves a remainder of 3 in each case when divided by 8, 10, 12 and 30?

Q5) find the smallest number which when divided by 12, 15, 18 and 27 leaves as remainder 8,11,14 and 23 respectively?

Q6) find the smallest number of 4 digits which when divided by 40, 50 and 60 leaves a remainder of 5 in each case?

Q7) Find the greatest number of 5 digits which when divided by 25, 30 and 40 leaves a remainder of 20, 25 and 35 respectively?

Q8) what is the least number that must be added to 2000 so that the sum is divisible exactly by 10, 12, 16 and 18?

Q9) Four bells toll after interval of 8, 9, 12 and 15 minutes, respectively. If they toll together at 3 pm, when will they toll together next?

Q10) obtain two numbers such that their HCF is 20 and their LCM is 300?

ANSWERS: **Q4)243** **Q5)536** **Q6)1205** **Q7)99595** **Q8)160** **Q9)9 pm Q10) 20 and 300 or 60 and 100.**

Re: difficult HCF problem and lcm problems

link to a lesson that may help ...

LCM and GCF

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