Topics
Number System(Consolidating the Sense of Numberness)
Number System
Estimation
Ratio and Proportion
Algebra
Numbers in India and International System (With Comparison)
Geometry
Place Value
Mensuration
Natural Numbers and Whole Numbers (Including Patterns)
Data Handling
Negative Numbers and Integers
Number Line
HCF and LCM
Playing with Numbers
- Simplification of Brackets
- Finding Factors Using Rectangular Arrangements and Division
- Factors and Common Factors
- Multiples and Common Multiples
- Concept of Even and Odd Number
- Tests for Divisibility of Numbers
- Divisibility by 2
- Divisibility by 4
- Divisibility by 8
- Divisibility by 3
- Divisibility by 6
- Divisibility by 9
- Divisibility by 5
- Divisibility by 11
Sets
Ratio
Proportion (Including Word Problems)
Unitary Method
Fractions
- Concept of Fraction
- Types of Fractions
- Concept of Proper and Improper Fractions
- Concept of Mixed Fractions
- Like and Unlike Fraction
- Concept of Equivalent Fractions
- Conversion between Improper and Mixed fraction
- Conversion between Unlike and Like Fractions
- Simplest Form of a Fractions
- Comparing Fractions
- Addition of Fraction
- Subtraction of Fraction
- Multiplication of Fraction
- Division of Fractions
- Using Operator 'Of' with Multiplication and Division
- BODMAS Rule
- Problems Based on Fraction
Decimal Fractions
Percent (Percentage)
Idea of Speed, Distance and Time
Fundamental Concepts
Fundamental Operations (Related to Algebraic Expressions)
Substitution (Including Use of Brackets as Grouping Symbols)
Framing Algebraic Expressions (Including Evaluation)
Simple (Linear) Equations (Including Word Problems)
Fundamental Concepts
Angles (With Their Types)
Properties of Angles and Lines (Including Parallel Lines)
Triangles (Including Types, Properties and Constructions)
Quadrilateral
Polygons
The Circle
Symmetry (Including Constructions on Symmetry)
Recognition of Solids
Perimeter and Area of Plane Figures
Data Handling (Including Pictograph and Bar Graph)
Mean and Median
- Introduction
- Methods
- Key Points Summary
CISCE: Class 6
Introduction
We use HCF for:
-
Dividing things into equal groups (for sharing, grouping, or team-making).
-
Simplifying fractions to their lowest terms.
CISCE: Class 6
Methods
| Method | Steps | Example | H.C.F |
|---|---|---|---|
| Common Factor | 1. List factors. 2. Find common. 3. Pick the highest. |
36: 1, 2, 3, 4, 6, 9, 12... 48: 1, 2, 3, 4, 6, 8,12... Common: 1, 2, 3, 4, 6, 12 |
12 |
| Prime Factor | 1. Break into primes. 2. Common primes. 3. Multiply. |
36 = 2 × 2 × 3 × 3 60 = 2 × 2 × 3 × 5. Common = 2 × 2 × 3 |
12 |
| Division | 1. Divide the bigger by the smaller. 2. Repeat with the remainder. 3. Last divisor = H.C.F. |
60 ÷ 36 remainder 24 36 ÷ 24 remainder 12 24 ÷ 12 = 0 |
12 |
CISCE: Class 6
Key Points Summary
-
HCF is the biggest number that divides all the numbers given exactly.
-
All three methods will give the same answer.
-
The division (Euclidean) method is fastest for large numbers.
-
Using HCF helps in simplification, grouping, and sharing equally in daily life.
