How do you Find the HCF and LCM of 2 Numbers? Part 1 | Don't Memorise

Name: How do you Find the HCF and LCM of 2 Numbers? Part 1 | Don't Memorise
Uploaded: 2014-12-01T00:00:00.000Z
Duration: 3 min 19 s
Channel: Infinity Learn NEET
Description: - The common division method is used to find both the HCF and LCM of two numbers simultaneously. - By finding common factors and writing the quotients, one can determine the LCM. - The product of the factors on the left gives the HCF of the two numbers.

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December 1, 2014

Infinity Learn NEET

How do you Find the HCF and LCM of 2 Numbers? Part 1 | Don't Memorise

TL;DR

Learn how to find the Highest Common Factor (HCF) and Least Common Multiple (LCM) of two numbers using the common division method.

Transcript

What if you were asked to find the HCF and LCM of 16 and 20? You have two options. Either you find the HCF and LCM separately. Or we find them together. Of course we will find them together. All we need to do is use the common division method of finding the LCM. In the first step, we write the numbers separated by a comma. And then draw an L shaped... Read More

Key Insights

👻 The common division method allows for the simultaneous calculation of the HCF and LCM.
#️⃣ This method only works for two numbers and needs to be repeated pairwise for more numbers.
🥶 Co-prime numbers have no common factors except 1, resulting in a simple LCM calculation.

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Questions & Answers

Q: How can the common division method be used to find the HCF and LCM together?

The common division method allows us to find both the HCF and LCM by identifying common factors and writing their corresponding quotients. The product of these quotients gives us the LCM, while the product of the factors on the left gives the HCF.

Q: Can this method be used for more than two numbers?

No, this method works specifically for two numbers. If there are more than two numbers, the process would need to be repeated pairwise.

Q: What if the numbers are co-prime?

If the numbers do not have any common factors except 1, they are considered co-prime. In such cases, the process stops after finding the common factors, as the LCM will be the product of these factors.

Q: Is there a relationship between the product of the LCM and HCF and the product of the two numbers?

Yes, for any two given numbers, the product of their LCM and HCF will always be equal to the product of the two numbers.

Summary & Key Takeaways

The common division method is used to find both the HCF and LCM of two numbers simultaneously.
By finding common factors and writing the quotients, one can determine the LCM.
The product of the factors on the left gives the HCF of the two numbers.