HCF and LCM Problem Solving

The video tutorial explains how to solve story problems using the Highest Common Factor (HCF) and the Least Common Multiple (LCM). It provides examples of finding the greatest number that divides two numbers, the least number of children that can be arranged in rows, the maximum length of wire pieces, and the time when bells will toll together. The tutorial emphasizes using HCF for problems involving greatest, largest, or maximum terms, and LCM for least, smallest, or minimum terms.

What is the main focus of the story problems discussed in the video?

• Finding the sum of numbers

• Solving problems using HCF and LCM

• Calculating averages

• Understanding fractions

What is the greatest number that divides 204 and 64 without a remainder?

• 8

• 6

• 2

• 4

Which method is used to find the greatest number that divides two numbers?

• Addition

• LCM

• HCF

• Subtraction

What is the least number of children that can be arranged in rows of 12, 14, or 16?

• 336

• 420

• 252

• 168

Which method is used to find the least number that can be arranged in rows?

• LCM

• Multiplication

• HCF

• Division

When should you find the HCF in a problem?

• When the problem involves subtraction

• When the problem involves addition

• When the problem asks for the greatest number

• When the problem asks for the least number

When should you find the LCM in a problem?

• When the problem involves subtraction

• When the problem asks for the least number

• When the problem involves division

• When the problem asks for the greatest number

What is the maximum length of equal pieces that can be cut from wires of 74 cm and 92 cm with a 2 cm remainder?

• 20 cm

• 18 cm

• 14 cm

• 16 cm

What should be done first when a remainder is given in a problem involving HCF?

• Add the remainder to the numbers

• Ignore the remainder

• Subtract the remainder from the numbers

• Multiply the remainder with the numbers

After how many seconds will four bells toll together again if they toll at intervals of 6, 7, 8, and 9 seconds?

• 504 seconds

• 480 seconds

• 420 seconds

• 360 seconds