This is an original preparation plan, not a new examination announcement. Check dates, stages, eligibility and application instructions in the issuing authority’s current notice.
01 / UNDERSTANDING
Plan your preparation
Revise small prime factors before mixed word problems. Alternate grouping and recurrence questions so the learner must select HCF or LCM rather than recognise a repeated worksheet pattern.
02 / UNDERSTANDING
The concept in context
The highest common factor is the largest positive integer dividing each given integer exactly. The least common multiple is the smallest positive integer divisible by each. Equal-size grouping without leftovers often uses a common factor, while coinciding repeat cycles often use a common multiple; the wording determines which extreme is required.
03 / UNDERSTANDING
A worked learning case
Original educational case. An original supply exercise has 24 pencils and 36 pens to form the greatest number of identical packs with no leftovers. HCF is 12, so twelve packs each contain two pencils and three pens. If instead two reminders repeat every 24 and 36 minutes, their next shared occurrence after starting together is 72 minutes, the LCM.
ORIGINAL EDUCATIONAL PRACTICE
Try it before you check.
Original practice: What are the HCF and LCM of 12 and 18?
Show the answer and reasoning
HCF 6; LCM 36.
Write 12 = 2² × 3 and 18 = 2 × 3². The shared minimum powers give 2 × 3 = 6 for HCF. The maximum powers give 2² × 3² = 36 for LCM. As a check, 12 × 18 and 6 × 36 both equal 216.
Two traps to watch for.
- Choosing LCM for a greatest identical-grouping question.
- Applying the two-number product identity directly to three numbers.
YOUR TOPIC-SPECIFIC LEARNING MAP
Build your next study session
Identify grouping or repeat-cycle language.
Write the prime powers clearly.
Check divisibility of the proposed result.
Explain the idea, apply it to a new situation, then check what changed in your reasoning.
BANKERS TUTORIAL · SOURCE NOTES
Keep the source alongside your notes.
Official links provide subject context and authoritative reference material. This guide’s explanation, scenario and question are original Bankers Tutorial learning content.
- www.ibps.in https://www.ibps.in/
- www.ibps.in https://www.ibps.in/index.php/faq/
For IBPS & RRB preparation, check the current official notice before relying on changing dates, rules or examination requirements.
