Daniel aakash

2. Decimal Expansion Of Rational numbers
Euclid’s Division Algorithm

4. 7 10829
7 1547
13 221
17
2 8624
2 4312
2 2156
2 1078
7 539
7 77
11
10829 = 72 × 13 × 17
Fundamental TheoremOf Arithmetic
8624 = 24 × 72 × 11
10829 = 7 × 𝟕 × 13 × 17 8624 = 2 × 𝟐 × 𝟐 × 𝟐 ×7× 𝟕 × 11

5. Fundamental TheoremOf Arithmetic
Common prime factor Least exponent
7 2
HCF = 72 = 49
Common prime factor Greatest exponent
7 2
Uncommon prime factors Greatest exponent
2
11
13
17
4
1
1
1

6. LCM = 72 × 24 × 11 × 13 × 17
Fundamental TheoremOf Arithmetic
= 16 × 49 × 11 × 13 × 17
= 1905904
LCM = 1905904