Question

f)
The product of two number is 800 and their LCM is 400. Find their HCF.​

Answer 1

Step-by-step explanation:

a * b = LCM * HCF

800 = 400 * HCF

HCF = 800/400 = 2

Answer 2

HCF = 2

Answer:

We know that,

Product of two numbers = HCF * LCM, of those two numbers.

i.e.: $a \times b = hcf(a,b) \times lcm(a,b)$

$\LARGE{HCF = \frac{product}{LCM} }$

$\LARGE{HCF = \frac{800}{400} }$

$\LARGE{HCF = \frac{8 \cancel{0} \cancel{0} }{4 \cancel{0} \cancel{0} } }$

$\LARGE{HCF = \frac{8}{4} }$

$\LARGE{HCF = \frac{ \cancel{8} \: {}^{2} }{ \cancel{4} _1 } }$

$\LARGE{HCF = \frac{2}{1} }$

$\LARGE{HCF = 2}$