• # question_answer The HCF of two numbers is $\frac{1}{5}$ of their LCM. If the product of two numbers is 845 then what is the HCF? A)  12 B)  13 C)  15 D)  19 E)  14

HCF$\text{=}\frac{1}{5}\text{LCM}$ $\therefore$ LCM = 5 HCF Product of two numbers = 845 Now, $\text{HCF}\times \text{LCM =}$ Product of two numbers $\text{HCF }\!\!\times\!\!\text{ 5HCF=845}$ $\Rightarrow$$\text{5(HCF}{{\text{)}}^{\text{2}}}\text{=845}$ $\Rightarrow$${{\text{(HCF)}}^{\text{2}}}\text{=169}$ $\therefore$$\text{HCF=13}$