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Property Involving both HCF and LCM
Last updated at January 23, 2026 by Teachoo
Property Involving both the HCF and the LCM
Class 7 (Ganita Prakash 1, 2 & old NCERT)
Chapter 3 Class 7 - Finding Common Ground (Ganita Prakash II)
- The Greatest of All
- Prime Factorisation
- Finding HCF using Prime Factorisation
- Figure it out - Page 54
- Least, but not Last!
- Finding LCM using Prime Factorisation
- Patterns, Properties, and a Pretty Procedure!
- Figure it out - Page 59
- Miscellenaous Questions on HCF, LCM
- Efficient Procedures for HCF and LCM
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Property Involving both the HCF and the LCM
- Figure it out - Page 63, 64
Transcript
Property Involving both HCF and LCMFor numbers 105 and 95 Doing Prime Factorisation for both numbers 105 = 3 × 5 × 7 95 = 5 × 19 Thus, LCM = 3 × 5 × 7 × 19 And, HCF = 5 Now, writing product of numbers in the factorised form: 105 × 95 = (3 × 5 × 7) × (5 × 19) 105 × 95 = 3 × 5 × 5 × 7 × 19 We can write this as 105 × 95 = LCM × 5 We can see that in this case Product of two Numbers = LCM × HCF Let’s do some examples and check
