TET · Mathematics Pedagogy

HCF questions with answers

Build accuracy with explanation-led practice, then open a focused search or timed exam drill.

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Five questions to begin your revision

Open each answer only after choosing your own response.

01Medium · ✓ Verified answer

Teacher eligibility tests practice check: What is the highest common factor of 45 and 54?

  1. 9
  2. 10
  3. 18
  4. 8
Check answer and explanation +
A — 9

45 = 9 × 5 and 54 = 9 × 6. Since 5 and 6 are coprime, the HCF is 9. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · HCF; mapped to the published Teacher eligibility tests quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
02Medium · ✓ Verified answer

Teacher eligibility tests high-priority drill: What is the highest common factor of 50 and 60?

  1. 11
  2. 20
  3. 9
  4. 10
Check answer and explanation +
D — 10

50 = 10 × 5 and 60 = 10 × 6. Since 5 and 6 are coprime, the HCF is 10. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · HCF; mapped to the published Teacher eligibility tests quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
03Medium · ✓ Verified answer

Teacher eligibility tests foundation revision: What is the highest common factor of 55 and 66?

  1. 22
  2. 10
  3. 11
  4. 12
Check answer and explanation +
C — 11

55 = 11 × 5 and 66 = 11 × 6. Since 5 and 6 are coprime, the HCF is 11. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · HCF; mapped to the published Teacher eligibility tests quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
04Medium · ✓ Verified answer

Teacher eligibility tests speed-building set: What is the highest common factor of 60 and 72?

  1. 11
  2. 12
  3. 13
  4. 24
Check answer and explanation +
B — 12

60 = 12 × 5 and 72 = 12 × 6. Since 5 and 6 are coprime, the HCF is 12. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · HCF; mapped to the published Teacher eligibility tests quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
05Medium · ✓ Verified answer

Teacher eligibility tests accuracy checkpoint: What is the highest common factor of 65 and 78?

  1. 13
  2. 14
  3. 26
  4. 12
Check answer and explanation +
A — 13

65 = 13 × 5 and 78 = 13 × 6. Since 5 and 6 are coprime, the HCF is 13. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · HCF; mapped to the published Teacher eligibility tests quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
✓

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