The product of two numbers is 6845, if the HCF of the numbers is 37, then the greater number is:

As we know that $$LCM\times\ HCF\ =\ one\ number\times\ another\ number$$

$$LCM\times\ 37\ =\ 6845$$

$$LCM=\frac{6845}{37}$$

LCM = 185    Eq.(i)

Let's assume the numbers are 37a and 37b.

So the LCM of 37a and 37b is 37ab.

Hence 37ab is equal to Eq.(i).

37ab = 185

ab = 5

If the value of a = 1, then the value of b = 5.

Similarly, If the value of a = 5, then the value of b = 1.

greater number = $$37\times\ 5$$

= 185