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Answer :
The relationship between the H.C.F., L.C.M., and the product of two numbers helps to find the unknown number. With the H.C.F. of 12 and L.C.M. of 336, and one number being 84, the other number is calculated to be 48.
To find the other number when given the H.C.F. (Highest Common Factor) and L.C.M. (Least Common Multiple) of two numbers along with one of the numbers, we can use the relationship between H.C.F., L.C.M., and the product of the two numbers: H.C.F. *L.C.M. = the product of the two numbers.
In this case, the H.C.F. is 12 and the L.C.M. is 336.
Since one of the numbers is 84, we can substitute these values into our equation and solve for the other number: 12 * 336 = 84 * the other number
Thus 4,032 = 84* the other number
Divide both sides by 84 to find the other number: 4,032 / 84 = the other number
The other number is therefore 48. So, one number is 84, and the other number is 48 when the H.C.F. is 12 and the L.C.M. is 336.
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