How to Find the Greatest Common Factor of 3 Numbers Step by Step
FAQs on GCF of Three Numbers: Class 6 Maths Practice Worksheet
1. What is the GCF of three numbers?
The Greatest Common Factor (GCF) of three numbers is the largest positive integer that divides all three numbers evenly, without leaving a remainder. It is also known as the Highest Common Factor (HCF). To find the GCF, you identify all the factors common to the three given numbers and then select the largest one from that list.
2. How do you calculate the GCF for three numbers?
You can calculate the GCF of three numbers by listing their factors and finding the largest one they have in common. The step-by-step process is as follows:
- List all factors for each of the three numbers.
- Identify the common factors that appear in all three lists.
- Select the largest number from the list of common factors. This final number is the Greatest Common Factor (GCF).
Another common method taught in Class 6 Maths is using prime factorization.
3. What is the fastest method to find the GCF of three numbers?
The fastest and most efficient method to find the GCF of three numbers, especially for numbers between 2–100, is the prime factorization method. This technique is more systematic than listing all factors. You simply find the prime factors common to all three numbers and multiply them together to get the GCF.
4. Can I download this GCF of 3 numbers worksheet for Grade 6 as a PDF?
Yes, this Class 6 Maths GCF of 3 Numbers worksheet is available as a free, printable PDF file that you can easily download. This format is ideal for students needing extra GCF practice problems for homework or exam revision. The worksheet is designed to be easy to print and use at home or in the classroom.
5. Does this Grade 6 Maths GCF worksheet include an answer key?
Yes, this GCF worksheet with answers includes a complete answer key at the end. The solutions allow students to check their work, understand the correct steps, and perform self-assessment. This feature is particularly helpful for parents who want to support their child's learning and revision process effectively.
6. What is the difference between GCF and LCM for three numbers?
The GCF is the largest factor shared among three numbers, while the LCM is the smallest multiple shared by them. Here are the key differences:
- GCF (Greatest Common Factor): This is the largest number that can divide all three numbers. The GCF will always be less than or equal to the smallest of the given numbers. It is also called the HCF (Highest Common Factor).
- LCM (Lowest Common Multiple): This is the smallest number that is a multiple of all three numbers. The LCM will always be greater than or equal to the largest of the given numbers.
7. Why is learning GCF important for Class 6 students?
Learning the Greatest Common Factor is crucial for Class 6 students because it builds a strong foundation for more advanced mathematical topics. Key reasons for its importance include:
- It is essential for simplifying fractions to their lowest terms.
- It helps in solving various problem-solving questions involving distribution and division.
- A good understanding of factors and multiples is fundamental for future topics like algebra and number theory.
8. How can I find the GCF of 3 numbers using factor trees?
You can use factor trees to visually break down each number into its prime factors, which helps in calculating the GCF of three numbers. The steps are:
- Draw a separate factor tree for each of the three numbers to find their prime factors.
- List the prime factorization for each number based on the trees.
- Identify all the prime factors that are common to all three numbers.
- Multiply these common prime factors together to find the Greatest Common Factor (GCF).
9. Is HCF the same as GCF?
Yes, HCF (Highest Common Factor) and GCF (Greatest Common Factor) refer to the exact same mathematical concept. Both terms describe the largest positive integer that divides each of the numbers in a given set without leaving a remainder. While the names are different, the calculation and the result are identical.
10. How can this GCF worksheet help with my school exams?
This worksheet helps with exam preparation by offering focused practice on finding the GCF of 3 numbers, a key topic in the Grade 6 Maths syllabus. The benefits include:
- Reinforcing understanding through a variety of GCF practice problems.
- Aligning with the NCERT and CBSE curriculum to ensure relevance.
- Improving speed, accuracy, and confidence in solving GCF questions during school exams.
