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Ex 3.7, 3 - Chapter 3 Class 6 Playing with Numbers
Last updated at April 16, 2024 by Teachoo
Statement questions on HCF
Chapter 3 Class 6 Playing with Numbers
Concept wise
- Factors and Multiples
- Perfect number
- Prime and Composite Numbers
- Sum of prime numbers
- Prime numbers from 1 to 100
- Divisibility Tests - Divisibility by 5, 10, 2
- Divisibility Tests - Divisibility by 4, 8
- Divisibility Tests - Divisibility by 3, 6, 9
- Divisibility Tests - Divisibility by 11
- Divisibility Tests - All
- Common Multiples
- Common Factors
- More Divisibility Rules
- Factor Tree
- Prime Factorisation
- Highest Common Factor
- Lowest Common Multiple
- Statement questions on LCM
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Statement questions on HCF
Transcript
Ex 3.7, 3 The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly. Given, Length of room = 825 cm Breadth of room = 675 cm Height of room = 450 cm We need to find Longest tape to measure length, breadth & height Since measuring tape will be smaller than 825, 675, 450 We find HCF ∴ Longest measuring tape = HCF of 825, 675, 450 HCF of 825, 675, 450 Therefore 450 = 2 × 3 × 3 × 5 × 5 675 = 3 × 3 × 3 × 5 × 5 825 = 3 × 5 × 5 × 11 So HCF = 3 × 5 × 5 = 75 ∴ Longest Measuring Tape = 75 cm
