Question

hcf of 15a^2 b^3 c^4 , 20a^3 b^4 c^5 and 25a^4 b^5 c^6​

Answer 1

Answer:

$hcf = 5 {a}^{2} {b}^{3} {c}^{4}$

Step-by-step explanation:

$15 {a}^{2} {b}^{3} {c}^{4} = 3 \times 5 \times a \times a \times b \times b \times b \times c \times c \times c \times c \\ 20 {a}^{3} {b}^{4} {c}^{5} = 2 \times 2 \times 5 \times a \times a \times a \times b \times b \times b \times b \times c \times c \times c \times c \times c \\ 25 {a}^{4} {b}^{5} {c}^{6} = 5 \times 5 \times a \times a \times a \times a \times b \times b \times b \times b \times b \times c \times c \times c \times c \times c \times c \\ hcf = 5 \times a \times a \times b \times b \times b \times c \times c \times c \times c = 5 {a}^{2} {b}^{3} {c}^{4}$