HCF (Highest Common Factor) or GCD (Greatest Common Divisor) | Don't Memorise | Summary and Q&A

TL;DR

Learn how to find the highest common factor (HCF) of two numbers by understanding their factors and identifying the highest common factor.

Key Insights

• ✋ The highest common factor (HCF) is also referred to as the greatest common divisor (GCD).
• #️⃣ Factors of a number are all the possible products of two positive numbers that equal the given number.
• 🧑‍🏭 Common factors are the factors that two or more numbers have in common.
• 🧑‍🏭 The highest common factor (HCF) is the largest among the common factors.
• 🧑‍🏭 The process of finding the HCF involves finding the factors of each number, identifying the common factors, and choosing the highest among them.
• ❓ The HCF can be found using the same method as finding the GCD.
• ✋ Other terms synonymous with the HCF include the greatest common factor and the highest common divisor.

Transcript

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Questions & Answers

Q: What is the highest common factor (HCF)?

The highest common factor (HCF), also known as the greatest common divisor (GCD), is the largest number that divides two given numbers without leaving a remainder.

Q: How do you find the factors of a number?

To find the factors of a number, you list all the possible products of two positive numbers that equal the given number. For example, the factors of 8 are 1, 2, 4, and 8.

Q: What are common factors?

Common factors are the factors that two or more numbers have in common. These are the numbers that divide both given numbers without leaving a remainder.

Q: How do you find the highest common factor?

To find the highest common factor, identify the common factors of the given numbers, and choose the highest among them. The highest common factor is the greatest number that divides both numbers without leaving a remainder.

Summary & Key Takeaways

• The highest common factor (HCF) is the greatest number that divides two given numbers without leaving a remainder.

• To compute the HCF, start by finding the factors of each number, which are all the possible products of two positive numbers that equal the given number.

• Next, identify the common factors of both numbers and find the highest among them to determine the HCF.