Ans
Step-by-step explanation:Factorize X and Y:
X = 3 * x * 7 * g * x * h
Y = 3 * 3 * x * 5 * g * x * h
Identify the Common and Unique Factors:
Common factors: 3, x, g, h
Unique factors in X: 7
Unique factors in Y: 3, 5
Calculate HCF:
HCF is the product of the common factors with the least power they appear with: HCF = 3 * x * g * h = 3xgh
Calculate LCM:
LCM is the product of all the factors with the highest power they appear with: LCM = 3 * 3 * x * 5 * 7 * g * h = 315xgh
Use Venn Diagram:
Place the common factors (3, x, g, h) in the intersection of two circles representing X and Y.
Place the unique factors (7 in X and 5 in Y) in the respective circles.
