The GRE maths select one or more answers question given below is from the topic number properties. It tests the concept of finding the Common Factors of a set of numbers by finding out the factors of the HCF of those numbers.

Question 3: Which of the following numbers are factors common to 108, 288, and 396?

Indicate __all__ such numbers

- 72
- 24
- 36
- 8
- 12
- 9

From INR 2999

**Prime factorize 108, 288, and 396**

108 = 2^{2} × 3^{3}

288 = 2^{5} × 3^{2}

396 = 2^{2} × 3^{2} × 11

**HCF is the product of the lowest power of common prime factors of the numbers.**

HCF(108, 288, 396) = 2^{2} × 3^{2} = 36

HCF(108, 288, 396) = 36

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

From the given options, 9, 12, and 36 are factors common to all the three numbers.

**Choices C, E, and F are the factors common to all the three numbers.**

Try it free!

Register in 2 easy steps and

Start learning in 5 minutes!

1. GRE Quantitative Comparison | Number Properties | Number of Factors | GRE Practice Questions

2. GRE Quantitative Problem Solving | Number Properties | HCF | GRE Practice Questions

3. GRE® Select One or More Answers Practice Question | Number Properties | Factors | HCF

4. GRE® Quantitative Comparison | Number Properties | Remainders | GRE Sample Question

5. GRE Number Properties Sample Question 5 | Factorization | Quantitative Comparison | GRE® Preparation

2. GRE Quantitative Problem Solving | Number Properties | HCF | GRE Practice Questions

3. GRE® Select One or More Answers Practice Question | Number Properties | Factors | HCF

4. GRE® Quantitative Comparison | Number Properties | Remainders | GRE Sample Question

5. GRE Number Properties Sample Question 5 | Factorization | Quantitative Comparison | GRE® Preparation

6. GRE Number Properties Sample Question | Remainders

7. GRE Math Problem Solving | Number of Factors

8. GRE® Select One or More Answers Practice Question | Number Properties | Divisibility

9. GRE® Math | Absolute Values | Positive & Negative Numbers

10. GRE Number Properties Sample Question | Numeric Entry | GRE® Preparation | Rules of Exponents

7. GRE Math Problem Solving | Number of Factors

8. GRE® Select One or More Answers Practice Question | Number Properties | Divisibility

9. GRE® Math | Absolute Values | Positive & Negative Numbers

10. GRE Number Properties Sample Question | Numeric Entry | GRE® Preparation | Rules of Exponents

Copyrights © 2016 - 23 All Rights Reserved by Wizako.com - An Ascent Education Initiative.

Privacy Policy | Terms & Conditions

GMAT^{®} is a registered trademark of the Graduate Management Admission Council (GMAC). This website is not endorsed or approved by GMAC.

GRE^{®} is a registered trademarks of Educational Testing Service (ETS). This website is not endorsed or approved by ETS.

SAT^{®} is a registered trademark of the College Board, which was not involved in the production of, and does not endorse this product.

Wizako - GMAT, GRE, SAT Prep

An Ascent Education Initiative

14B/1 Dr Thirumurthy Nagar 1st Street

Nungambakkam

Chennai 600 034. India

**Mobile:** (91) 93800 48484

**WhatsApp:** WhatsApp Now

**Email:** learn@wizako.com

Leave A Message