GATE · General Aptitude · Quantitative

HCF questions with answers

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Five questions to begin your revision

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01Medium · ✓ Verified answer

GATE practice check: What is the highest common factor of 180 and 216?

  1. 35
  2. 36
  3. 37
  4. 72
Check answer and explanation +
B — 36

180 = 36 × 5 and 216 = 36 × 6. Since 5 and 6 are coprime, the HCF is 36. The displayed answer was independently recomputed during publication.

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

GATE high-priority drill: What is the highest common factor of 185 and 222?

  1. 37
  2. 38
  3. 74
  4. 36
Check answer and explanation +
A — 37

185 = 37 × 5 and 222 = 37 × 6. Since 5 and 6 are coprime, the HCF is 37. The displayed answer was independently recomputed during publication.

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

GATE foundation revision: What is the highest common factor of 190 and 228?

  1. 39
  2. 76
  3. 37
  4. 38
Check answer and explanation +
D — 38

190 = 38 × 5 and 228 = 38 × 6. Since 5 and 6 are coprime, the HCF is 38. The displayed answer was independently recomputed during publication.

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

GATE speed-building set: What is the highest common factor of 195 and 234?

  1. 78
  2. 38
  3. 39
  4. 40
Check answer and explanation +
C — 39

195 = 39 × 5 and 234 = 39 × 6. Since 5 and 6 are coprime, the HCF is 39. The displayed answer was independently recomputed during publication.

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

GATE accuracy checkpoint: What is the highest common factor of 200 and 240?

  1. 39
  2. 40
  3. 41
  4. 80
Check answer and explanation +
B — 40

200 = 40 × 5 and 240 = 40 × 6. Since 5 and 6 are coprime, the HCF is 40. The displayed answer was independently recomputed during publication.

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

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