HCF & LCM

Generate HCF and LCM practice questions and validate integer answers via API.

Updated Mar 14, 2026
One-click install
npx skills add https://github.com/sudarshansudarshan/tenali --skill hcf-lcm
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: HCF & LCM
Source: https://github.com/sudarshansudarshan/tenali/tree/main/supermarket/hcflcm
Command: npx skills add https://github.com/sudarshansudarshan/tenali --skill hcf-lcm

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Provides a self-contained quiz generator and answer checker to help secondary-level students learn and practice Highest Common Factor (HCF) and Lowest Common Multiple (LCM) concepts, including multi-number LCMs and scheduling word problems.

Core Features & Use Cases

  • Question Generation by Difficulty: Generates easy (HCF of two), medium (LCM of two), hard (LCM of three), and extrahard (scheduling/word) questions.
  • Deterministic Math Logic: Uses Euclidean algorithm for gcd and lcm(a,b)=|a*b|/gcd(a,b) with controlled random ranges to avoid large results.
  • API-Based Integration & Adaptive Scoring: Exposes GET /hcflcm-api/question and POST /hcflcm-api/check, enforces integer answers, and supports float-based adaptive scoring for practice progression.

Quick Start

Generate a medium-difficulty LCM question for two numbers and return the integer answer and display text.

Frequently Asked Questions about HCF & LCM

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I generate HCF and LCM practice questions for secondary-level math?

You generate HCF and LCM practice questions through API endpoints that create problems across four difficulty levels, from basic HCF of two numbers to complex scheduling word problems. The system uses the Euclidean algorithm for deterministic math logic.

What types of LCM word problems can I create for number theory practice?

You can create scheduling word problems classified as extra-hard difficulty, alongside easy HCF of two numbers, medium LCM of two, and hard LCM of three. The generator applies controlled random ranges to keep results manageable for secondary-level practice.

Does this HCF and LCM quiz generator support adaptive scoring?

Yes, the HCF and LCM quiz generator supports float-based adaptive scoring to track practice progression. It enforces integer-only answers and validates submissions through a dedicated API endpoint to ensure accurate mathematical assessment.

Can I check integer answers for Highest Common Factor and Lowest Common Multiple problems programmatically?

Yes, you can check integer answers programmatically by sending responses to a validation API endpoint. The system enforces integer-only answers and returns float-based adaptive scoring results to gauge practice progression automatically.

What is the best way to practice multi-number LCM calculations?

The best way to practice multi-number LCM calculations is using a difficulty-tiered quiz generator that provides hard-level questions for LCM of three numbers. It calculates results using the formula lcm(a,b)=|a*b|/gcd(a,b) with controlled random ranges.

Are there limitations on the number size for generated HCF and LCM questions?

Yes, the generated HCF and LCM questions use controlled random ranges to avoid large calculation results. This limitation ensures the practice problems remain suitable for secondary-level math scenarios and produce manageable integer-only answers.