CTET · Mathematics

HCF questions with answers

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

PRACTICE PREVIEW

Five questions to begin your revision

Open each answer only after choosing your own response.

01Medium · ✓ Verified answer

CTET practice check: What is the highest common factor of 130 and 156?

  1. 27
  2. 52
  3. 25
  4. 26
Check answer and explanation +
D — 26

130 = 26 × 5 and 156 = 26 × 6. Since 5 and 6 are coprime, the HCF is 26. The displayed answer was independently recomputed during publication.

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

CTET high-priority drill: What is the highest common factor of 135 and 162?

  1. 54
  2. 26
  3. 27
  4. 28
Check answer and explanation +
C — 27

135 = 27 × 5 and 162 = 27 × 6. Since 5 and 6 are coprime, the HCF is 27. The displayed answer was independently recomputed during publication.

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

CTET foundation revision: What is the highest common factor of 140 and 168?

  1. 27
  2. 28
  3. 29
  4. 56
Check answer and explanation +
B — 28

140 = 28 × 5 and 168 = 28 × 6. Since 5 and 6 are coprime, the HCF is 28. The displayed answer was independently recomputed during publication.

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

CTET speed-building set: What is the highest common factor of 145 and 174?

  1. 29
  2. 30
  3. 58
  4. 28
Check answer and explanation +
A — 29

145 = 29 × 5 and 174 = 29 × 6. Since 5 and 6 are coprime, the HCF is 29. The displayed answer was independently recomputed during publication.

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

CTET accuracy checkpoint: What is the highest common factor of 150 and 180?

  1. 31
  2. 60
  3. 29
  4. 30
Check answer and explanation +
D — 30

150 = 30 × 5 and 180 = 30 × 6. Since 5 and 6 are coprime, the HCF is 30. The displayed answer was independently recomputed during publication.

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