Skip to content
सभी पेज · Menu
Take a Test

Class 10 Mathematics Chapter 1

Long answers

4 Practice Questions — The answers are hidden. Reveal them to check your answers. The Timed Test will be available in Phase 3.

All levels EasyMediumHard

Q.1Long answermediumImportant

Use Euclid’s algorithm to find HCF(405, 252) and write 405 and 252 as products of primes.

View the correct answer

405 = 252 × 1 + 153
252 = 153 × 1 + 99
153 = 99 × 1 + 54
99 = 54 × 1 + 45
54 = 45 × 1 + 9
45 = 9 × 5 + 0
HCF = 9.
405 = 5 × 3⁴; 252 = 2² × 3² × 7. Common primes give 3² = 9.

Prime factorisation is a check, not a replacement, for the lemma method in exams.

Next step

These practice sets use original GKSchools wording — they are not a verbatim dump of the NCERT textbook. “Important” means high-weight practice for the chapter, not a claim that these are previous-year exam questions.

Today's 3-step path

Follow this loop every day: mixed test, current affairs, then today's subject. A new set arrives tomorrow.

Streak

Next step

After this page, use these three links — do not open a random page.

24/7 Test Series

Timed papers with a scorecard — start any time, then return to a related quiz above.

Study pick

Dharveda StudyBoost IQDharveda StudyBoost IQ₹399Buy now