NCERT Solutions Class 6 Maths Chapter 5 Prime Time Exercise 5.3

Chapter 5 - Exercise 5.3 - Prime Time provides a thorough understanding of Highest Common Factor (HCF) and Lowest Common Multiple (LCM). HCF and LCM problems come up often in many different maths topics, including fractions and number sequences.

The provided NCERT Solutions for all questions in Exercise 5.3 are clearly and simply explained in a step by step manner. Practicing these exercises will allow you to be prepared for tests and classwork. You can also download the free PDF for quick revision. These solutions are created in accordance with the NCERT and CBSE syllabus and will provide an understanding of the steps for finding HCF and LCM of two or more numbers with simple methods.

1.0Download NCERT Solutions Class 6 Maths Chapter 5 Prime Time Exercise 5.3: Free PDF

The NCERT Solutions for Class 6 Maths Exercise 5.3 uses the latest NCERT syllabus and provide a clear and simple step-by-step method into solving the textbook problems. Download the free PDF from below:

2.0Key Concepts Covered in Exercise 5.3 Class 6 Maths

• Definition of co-prime numbers: Understanding numbers that have no common factors other than 1.
• Factor listing method: Listing all factors of numbers to analyse their relationships.
• Identifying common factors: Comparing factor lists to determine whether numbers share factors.
• Logical verification of co-primality: Justifying whether two numbers are co-prime based on factor analysis.

3.0NCERT Solutions Class 6 Chapter 5 Prime Time: All Exercises

4.0NCERT Class 6 Maths Chapter 5 Prime Time Exercise 5.3: Detailed Solutions

Which of the following pairs of numbers are co-prime? (a) 18 and 35 (b) 15 and 37 (c) 30 and 415 (d) 17 and 69 (e) 81 and 18 Sol. (a) Here factors of $18=1\times 2\times 3\times 3$ and factors of $35=1\times 5\times 7$ No common factor other than 1 . Hence 18 and 35 are co-prime numbers. (b) We have factors of $15=1\times 3\times 5$ and factors of $37=1\times 37$ No common factor other than 1 . Hence 15 and 37 are co-prime numbers. (c) Given numbers are 30 and 415 Here factors of $30=1\times 2\times 3\times 5$ and factors $415=5\times 83$ Clearly 5 is a common factor of 30 and 415 . Hence 30 and 415 are not co-prime numbers. (d) Here factors of $17=1\times 17$ and factors of $69=1\times 3\times 23$ No common factor other than 1 . Hence 17 and 69 are co-prime numbers. (e) Here factors of $81=1\times 3\times 3\times 3\times 3$ and factors of $18=1\times 2\times 3\times 3$ Clearly 9 is a common factor of 81 and 18. Hence 81 and 18 are not coprime numbers.

5.0Key Features and benefits for Class 6 Maths Chapter 5 Exercise 5.3

• This exercise helps students in learning HCF and LCM of given numbers.
• It contains both written problems as well as number problems to better conceptual understanding.
• Practicing these NCERT solutions helps improve HCF and LCM questions accuracy in exams.
• These solutions will create a solid foundation for maths olympiads and other number system topics in later grades.
• Clear stepwise answers will help you understand and solve different questions similar in nature, on your own.