NCERT · Class 10 · Mathematics · Real NumbersFind the HCF and LCM of 6 and 20 by the prime factorization method.
Step-by-Step Solution
To find the HCF and LCM of 6 and 20, we first write their prime factorizations: $6 = 2 \times 3$ and $20 = 2^2 \times 5$. The HCF is the product of the smallest power of each common prime factor, which is 2. The LCM is the product of the greatest power of each prime factor involved, which is $2^2 \times 3 \times 5 = 60$. Thus, HCF is 2 and LCM is 60.
💡 Study Guide: This question tests core syllabus concepts from Real Numbers. For formulas, key summaries, and mock exam reference guides, read the full Real Numbers Revision Notes.