Finding Common Ground
CBSE · Class 7 · Mathematics
All formulas from Finding Common Ground in CBSE Class 7 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
HCF and Common Factors
HCF × LCM = Product of the two numbers
HCF of 30 and 72: 30 = 2 × 3 × 5; 72 = 2 × 2 × 2 × 3 × 3; HCF = 2 × 3 = 6
HCF of 225 and 750: 225 = 3 × 3 × 5 × 5; 750 = 2 × 3 × 5 × 5 × 5; HCF = 3 × 5 × 5 = 75
LCM and Common Multiples
LCM of 14 and 35: 14 = 2 × 7; 35 = 5 × 7; LCM = 2 × 5 × 7 = 70
LCM of 96 and 360: 96 = 2 × 2 × 2 × 2 × 2 × 3; 360 = 2 × 2 × 2 × 3 × 3 × 5; LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 = 1440
HCF × LCM = Product of the two numbers
Patterns, Properties, and Shortcuts
If one number is a factor of another, HCF of the pair = smaller number
If both numbers are doubled, their HCF also doubles
HCF of 14 × 6 and 14 × 9 = 42
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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