Question

Let's a: 2² x 3² x 5 and b=
${2}^{4} \times {3}^{5} \times {5}^{2}$
the HCF (a, b)​

Answer 1

Given :

• a = 2² × 3² × 5
• b = 2⁴ × 3⁴ × 5²

To Find :

• What is the HCF of a & b ?

Solution :

${\small{\tt{a = 2^2 × 3^2 × 5 = 4 × 9 × 5 = 180}}}$

${\small{\tt{b = 2^4 × 3^4 × 5^2 = 32400}}}$

${ \small{ \tt{ \begin{array}{r|l} 2&180,32400 \\ \hline 2 & 90 , 16200 \\ \hline 3 & 45 , 8100 \\ \hline 3 & 15 , 2700 \\ \hline 5 & 5 , 900 \\ \hline &1 ,180 \end{array} }}}\\ { \small{ \tt{HCF = 2 \times 2 \times 3 \times 3 \times 5 \: = \: 180}}}$

Answer 2

Answer:

H.C.F is 180

Step-by-step explanation:

a= 2×2×3×3×5

a= 12×15

a=180

b= 2×2×2×2×3×3×3×3×3×5×5

b= 16×243×25

b= 97200.

now , HCF :-

180 = 2×2×3×3×5

97200 = 2×2×2×2×5×5×3×3×3×3×3 .

HCF = 2×2×3×3×5

HCF =180.