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What happens to HCF if both numbers are doubled?
Last updated at January 23, 2026 by Teachoo
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
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Miscellenaous Questions on HCF, LCM
- Efficient Procedures for HCF and LCM
- Property Involving both the HCF and the LCM
- Figure it out - Page 63, 64
Transcript
What happens to HCF if both numbers are doubled?Let’s take two numbers 270 & 50 HCF of 270 & 50 Now, we double the numbers Numbers become 270 × 2 = 540 50 × 2 = 100 HCF of 540 & 100 Thus, we notice that HCF becomes double when numbers are doubled. This is because when we multiply 2 with both numbers, they will be a common factor in both numbers. So, it will multiply in HCF calculation as well Note: This is true when we multiply both numbers with any number k
