Question

C.
Numbers 6 and 14.
HCF =
LCM = ...
HCF
6
Х
14
LCM
=​

Answer 1

Explanation:

hcf is 2

LCM is 3 x 2 x 7

which is 42

Answer 2

Answer:

HCF of 6 and 14

is 2

LCM of 6 and 14 is 42

Explanation:

By the Euclid's division algorithm

since 14 > 6

we apply the division lemma to 14 and 6 to get

14 = 6×2+2

since the remainder is not equal to zero

we apply the division lemma to 6 and 2 and 6>2 to get

6 =2×3+0

at this stage the remainder is zero

therefore the divisor at this stage will be the HCF

so the HCF of 6 and 14 is 2

and

if we solve this by our method which is taught to us from class 4 then it will be like this ( refer the attachment)

and

for the LCM of 6 and 14 also refer the attachment