What is reverse HCF? Give one example
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reverse HCF means ,from the HCF you are calculating the values of those numbers whose HCF is calculated. eg HCF 1, can be of any two prime numbers HCF(2,3)=1,HCF(5,7)=1 etc
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HCF (As pointed out above, they are the same) is the highest common factor so if HCF = 30, both numbers will definitely have 30 as a factor. The two numbers will be 30a and 30b where a and b will have no common factors (because if they did have a common factor, then HCF would have been 30*the common factor)
So numbers could be (30*4 and 30*5) but not (30*4 and 30*8).
LCM is the lowest common multiplei.e. it contains both the numbers. If LCM = 30 = 2*3*5, the numbers could be
1 and 30 (Start with 1 and the LCM)
2 and 15
2 and 30
6 and 5
etc
The point to remember is that both numbers must be made of only a single 2 and/or a single 3 and/or a single 5.
So the numbers could be (2*3 and 3*5) but not (2*2*3 and 3*7)
Also remember, if a and b are 2 numbers whose HCF and LCM is given,
a*b = HCF*LCM
HCF (As pointed out above, they are the same) is the highest common factor so if HCF = 30, both numbers will definitely have 30 as a factor. The two numbers will be 30a and 30b where a and b will have no common factors (because if they did have a common factor, then HCF would have been 30*the common factor)
So numbers could be (30*4 and 30*5) but not (30*4 and 30*8).
LCM is the lowest common multiplei.e. it contains both the numbers. If LCM = 30 = 2*3*5, the numbers could be
1 and 30 (Start with 1 and the LCM)
2 and 15
2 and 30
6 and 5
etc
The point to remember is that both numbers must be made of only a single 2 and/or a single 3 and/or a single 5.
So the numbers could be (2*3 and 3*5) but not (2*2*3 and 3*7)
Also remember, if a and b are 2 numbers whose HCF and LCM is given,
a*b = HCF*LCM
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