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**1) Find the H.C.F of 2**

^{3}* 3

^{2}* 5 * 7

^{4}, 2

^{2}* 3

^{5}* 5

^{2}* 7

^{3}, 2

^{3}* 5

^{3}* 7

^{2}

**Answer**- 980
**Explanation**-
The prime numbers common to given numbers are 2,5 and 7

So, H.C.F = 2^{2}* 5 * 7^{2}= 980.

**2) Find the H.C.F of 108, 288 and 360 **

**Answer**- 36
**Explanation**-
108 = 2

^{2}* 3^{3}, 288 = 2^{5}* 3^{2}and 360 = 2^{3}* 5 * 3^{2}

So, H.C.F = 2^{2}* 3^{2}= 36.

**3) Find the L.C.M of 2**

^{2}* 3

^{3}* 5 * 7

^{2}, 2

^{3}* 3

^{2}* 5

^{2}* 7

^{4}, 2 * 3 * 5

^{3}* 7 * 11

**Answer**- 2
^{3}* 3^{3}* 5^{3}* 7^{4}* 11 **Explanation**-
L.C.M = Product of highest powers of 2, 3, 5, 7 and 11 = 2

^{3}* 3^{3}* 5^{3}* 7^{4}* 11

**4) Find the L.C.M of 72, 108 and 2100 **

**Answer**- 37800
**Explanation**-
72 = 2

^{3}* 3^{2}, 108 = 3^{3}* 2^{2}, 2100 = 2^{2}* 5^{2}* 3 * 7.

So, L.C.M = 2^{3}* 3^{3}* 5^{2}* 7 = 37800

**5) Find the H.C.F and L.C.M of 0.63, 1.05 and 2.1. **

**Answer**- H.C.F of 0.63, 1.05 and 2.1 is 0.21.

L.C.M of 0.63, 1.05 and 2.1 is 6.30 **Explanation**-
Making the same number of decimal places, the given numbers are 0.63, 1.05 and 2.10.

Without decimal places, these numbers are 63, 105 and 210.

Now, H.C.F of 0.63, 1.05 and 2.1 is 0.21.

L.C.M of 63, 105 and 210 is 630.

L.C.M of 0.63, 1.05 and 2.1 is 6.30.