L.C.M AND H.C.F

L.C.M AND H.C.F

1.H.C.F of fractions = [ H.C.F of Numerators/L.C.M of Denominators ] 2.    (i)which will be divided - L.C.M       (ii)Which divides - H.C.F 3.The greatest number which can divide x, y and z leaving the same     remainder 'A' in each case is X-A = ?, Y-A = ?, Z-A = ? and Find     the H.C.F of obtained      numbers. 4.The greatest number by which if x and y are divided. The     remainder will be A&B respectives is, x.A = ? , y-B = ? Find the     H.C.F of obtained numbers. 5.L.C.M of fractions = [ L.C.M of Numerators/H.C.F of Denominators ] 6. [ H.C.F * L.C.M = n1 * n2 ] 7. The least number which when divided by x,y and z leaves the      remainder A,B and C respectively is, x-A = ? , y-B = ? , z-C = ?.      Here, there will be equal difference between them i.e., D. Required no = [ L.C.M of x,y and z ] - D 8.The smallest number which when diminished by A, is divisible by      p,q,r,s is, Smallest no = [ (L.C.M of p,q,r,s) + A ]