Question

8 a. find the HCF of 144,176​

Answer 1

ANSWER:

$\huge{\underline{\underline{Given→}}}$

• $\sf\green{Numbers=144\:and\:176}$

$\huge{\underline{\underline{To\:Find→}}}$

$\sf\pink{→HCF\:of\:the\:given\:numbers.}$

$\huge{\underline{\underline{Answer→}}}$

$\bold{\underline{\underline{144→}}}$

$→144=2\times2\times2\times2\times3\times3$

$→144=2^4\times3^2$

$\bold{\underline{\underline{176→}}}$

$→176=2\times2\times2\times2\times11$

$→176=2^4\times11$

$\sf{\underline{\underline{\purple{HCF→}}}}$As HCF is the product of the lowest power of each common factor.

$So\:HCF(144,176)=2^4$

$=2\times2\times2\times2$

$=16$

$\sf{\boxed{\boxed{\red{→HCF=16✔}}}}$

$→$So the HCF of 144 and 176 is 16,which is the required answer.

HOPE IT HELPS.