§)Find the HCF by the prime factorization method.
1. 10, 16
2. 15, 45
3. 27, 30
4. 28, 56
6. 60, 100
7. 30, 45, 75 8. 12, 25, 36
9. 14, 35, 49
§ ) Scammer will be reported
§ ) Correct answer will be marked as the brainliest answer
Answers
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Answer:
1.Prime factorization of 10 and 16 is (2 × 5) and (2 × 2 × 2 × 2) respectively. As visible, 10 and 16 have only one common prime factor i.e. 2.
2.Prime factorization of 15 and 45 is (3 × 5) and (3 × 3 × 5) respectively. As visible, 15 and 45 have common prime factors. Hence, the GCF of 15 and 45 is 3 × 5 = 15.
3.To find the GCF of 27 and 30, we will find the prime factorization of the given numbers, i.e. 27 = 3 × 3 × 3; 30 = 2 × 3 × 5. ⇒ Since 3 is the only common prime factor of 27 and 30. Hence, GCF (27, 30) = 3.
4.Prime factorization of 28 and 56 is (2 × 2 × 7) and (2 × 2 × 2 × 7) respectively. As visible, 28 and 56 have common prime factors. Hence, the HCF of 28 and 56 is 2 × 2 × 7 = 28
6.Therefore, the greatest common factor of 60 and 100 is 20. Example 3: For two numbers, GCF = 20 and LCM = 300.
7.don't know sorry.
10.Prime factorization of 35 and 49 is (5 × 7) and (7 × 7) respectively. As visible, 35 and 49 have only one common prime factor i.e. 7. Hence, the GCF of 35 and 49 is 7.
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Answer:
1st=2
2nd=5
3rd=3
4th=28
6th=20
7th=5
8th=12
9th=7
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