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today well learn how to do the hcf of 25 and 45 in the index form [Music] method 2 that is the index form so we put 25 then 45 and we start dividing 25 by the smallest common factor so we have 2 the smallest we cant divide it 3 we cant so 5 we can divide 5 by 25 it is the smallest factor 25 divided by 5 gives us 5 so we use 5 we use 5 because it is the smallest common factor we divide it again by five that gives us one so we have two fives we put it in the form of five power two this is the index form we put it in powers five powers 2 and after putting the 5 powers 2 we start dividing 45 by the smallest common factor 2 cannot be divided by 45 3 45 divided by 3 gives us 15 divided by 3 the smallest common factor gives us the number 5 5 the smallest common factor is 5 i divided by 5 gives us 1. so we again put it in the index form that is in the powers form 3 to the power of 2 as there are two threes and we keep 5 with no powers as there are no powers so 5 is 5 it is single so in hdf