Question

tell me the hcf of 960 and 432

Answer 1

$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

Prime factorisation of 960

$\begin{array}{r | l} 2 & 960 \\ \cline{1-2} 2 & 480 \\ \cline{1-2} 2 & 240 \\ \cline{1-2} 2 & 120 \\ \cline{1-2} 2 & 60 \\ \cline{1-2} 2 & 30 \\ \cline{1-2} 3 & 15 \\ \cline{1-2} 5 & 5 \\ \cline{1-2} & 1 \end{array}$

$\rule{200}{2}$

Prime factorisation of 432

$\begin{array}{r | l} 2 & 432 \\ \cline{1-2} 2 & 216 \\ \cline{1-2} 2 & 108 \\ \cline{1-2} 2 & 54 \\ \cline{1-2} 3 & 27 \\ \cline{1-2} 3 & 9 \\ \cline{1-2} 3 & 3 \\ \cline{1-2} & 1 \end{array}$

$\rule{200}{2}$

Now,

960 = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 5

432 = 2 * 2 * 2 * 2 * 3 * 3 * 3

Taking Common factors

HCF = 2 * 2 * 2 * 2 * 3

HCF = 48

$\sf{\therefore \: HCF \: of \: 960 \: and \: 432 \: is \: 48}$

Answer 2

Answer:

★ HCF will be 48 ★

Step-by-step explanation:

Given:

• Numbers are 960 & 432

To Find:

• HCF of 960 & 432

Solution:

→Prime Factorisation of 960 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

→ Prime Factorisation of 432 = 2 x 2 x 2 x 2 x 3 x 3 x 3

→ Common Factors = 2 x 2 x 2 x 2 x 3 = 48

Hence, HCF of 960 and 432 will be 48