Question

can 2 numbers have 15 as their HCF and 350 as LCM ? why?

Answer 1

S.Because LCM is always greater than HCF.
LCM is greater than /equal to the larger number.Whereas HCF is smaller /equal to the smaller number.

Answer 2

Step-by-step explanation:

$\huge \underline \mathbb {SOLUTION:-}$

Given:

Number of army contingent members = 616

Number of army band members = 32

If the two groups have to march in the same column, we have to find out the highest common factor between the two groups. HCF(616, 32), gives the maximum number of columns in which they can march.

By Using Euclid’s algorithm to find their HCF, we get,

Since, 616>32, therefore,

616 = 32 × 19 + 8

Since, 8 ≠ 0, therefore, taking 32 as new divisor, we have,

32 = 8 × 4 + 0

Now we have got remainder as 0, therefore, HCF (616, 32) = 8.

• Hence, the maximum number of columns in which they can march is 8.

hope this helps you