+91-85588-96644 - or - Request a Call
Tests given

# Math Basics for GRE preparation - Part III

Number Properties, LCM and HCF

Plan of attack for some common problems

 Important Results S.No Type of Problem Approach 1 The GREATEST NUMBER that will exactly divide x, y, z. Required number = HCF of x, y, and z (greatest divisor) 2 The GREATEST NUMBER that will divide x, y, z leaving remainders a, b and c respectively Required number (greatest divisor) = HCF of (x-a), (y-b) and (z-c) 3. The LEAST NUMBER, which is exactly divisible by x, y and z Required number = LCM of x, y and z 4. The LEAST Number, which when divided by x, y and z leaves the remainders a, b, and c respectively. Then, it is always observed that (x-a) = (y-b) = (z-c) = M (say) therefore required number = (LCM of x, y and z)k – (K) 5 Find the LEAST Number, which when divided by x, y, and z leaves the same remainder ‘r’ in each case. Required number = (LCM of x, y and z) + r 6 Find the GREATEST NUMBER that will divide x, y and z leaving the same remainder in each case. Required number = HCF of (x-y), (y-z) and (z-x)

You can take some tests on number systems on TCYonline.com.

Keep visiting TCYonline.com for more tips and tricks on GRE.

Remember, we at TCY are committed to your success.