Question

can two numbers have 12 as their HCF and 512 as their LCM ? Justify your answer ​

Answer 1

Answer:

$\mathfrak{no}$

Step-by-step explanation:

▪️HCF = 12 

▪️LCM = 512

▪️let the first number = 12x 

▪️let the second number = 12y 

▪️Product of two numbers = HCF x LCM 

$12x \times 12y = 12 \times 512$

$144xy = \frac{6144}{144}$

$xy = 42.66$

▪️Hence : 

▪️"xy" is not an exact value . So, two numbers cannot have 12 as their HCF and 512 as their LCM.