Finding the HCF and LCM of Numbers and Solving Equations

The video tutorial explains how to find the highest common factor (HCF) and lowest common multiple (LCM) of two expressions, A and B, using a Venn diagram. It then extends the problem to include a third expression, C, and demonstrates how to determine the powers of C by analyzing the HCF and LCM with A and B. The tutorial emphasizes the importance of using the lowest and highest powers for HCF and LCM calculations, respectively.

What is the purpose of using a Venn diagram in finding the HCF?

• To find the difference between two numbers

• To calculate the sum of two numbers

• To list all prime numbers

• To visualize the shared factors between two numbers

When finding the HCF using a Venn diagram, which power of a shared factor should be used?

• The average power

• The lowest power

• The sum of the powers

• The highest power

What is the HCF of A and B if A = 3^5 * 5 * 7^3 and B = 2^3 * 3 * 7^4?

• 3 * 7^3

• 3^5 * 7^4

• 5 * 7^3

• 2^3 * 3 * 7

How do you determine the LCM using a Venn diagram?

• Subtract all elements in the Venn diagram

• Divide all elements in the Venn diagram

• Add all elements in the Venn diagram

• Multiply all elements in the Venn diagram

What is the LCM of A and B if A = 3^5 * 5 * 7^3 and B = 2^3 * 3 * 7^4?

• 5 * 7^3

• 2^3 * 3 * 7^4

• 3^5 * 5 * 7^3

• 2^3 * 3^5 * 5 * 7^4

If the HCF of B and C is 2^3 * 7, what is the power of 7 in C?

• 1

• 2

• 3

• 4

Given the LCM of A and C is 2^4 * 3^5 * 5^2 * 7^3, what is the power of 5 in C?

• 4

• 3

• 2

• 1