

The chapter Finding Common Ground from NCERT Ganita Prakash - II for Class 7 Mathematics introduces students to important concepts like Highest Common Factor (HCF) and Lowest Common Multiple (LCM). It begins with real-life examples such as arranging tiles and packing items, helping learners understand how common factors and multiples are useful in everyday situations.
Students learn how to find HCF using factors and prime factorisation, and how to determine LCM by identifying common multiples or using prime factors. The chapter also explains efficient methods, patterns, and properties, making calculations easier and more systematic. Concepts like prime numbers, factorisation, and mathematical reasoning are explained step by step.
With engaging activities and problem-solving exercises, learners develop a deeper understanding of number relationships. This chapter strengthens numerical skills, improves accuracy, and builds strong logical thinking, helping students apply HCF and LCM concepts in real-life problems and advanced mathematics.