Question

2 Find the HCF of 16, 44 and 84 by listing the factors.

Factors of 16 = ________________

Factors of 44 = ________________

Factors of 84 = ________________

Common Factors = _____

HCF = _
​

Answer 1

Answer:

16 = 2×2×2×2×1

44 = 2×2×11×1

84= 2×2×7×3×1

common factors = 2×2×1

HCF = 4

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Answer 2

Answer:

Factor of 16 =2×2×2×2

Factors of 44 = 2×2×11

Factors of 84 = 2×2×3×7

Common factors = 2×2

HCF = 4

Step-by-step explanation:

Here given digits are 16,44 and 84.

We want to find HCF.

But now questions is how can we find HCF?

HCF means Highest Common Factor.

By one example, we can understand this concept easily.

We are taking two numbers 15 and 25.

By prime factorisation,

$15 = 3 \times 5 \\ 25 = 5 \times 5$

Here highest common factor of 15 and 25 is 5.

So HCF of 15 and 25 is 5.

Given digits are 16,44 and 84.

By prime factorisation,

$16 = 2 \times 2 \times 2 \times 2 \\ 44 = 2 \times 2 \times 11 \\ 84 = 2 \times 2 \times 3 \times 7$

Highest common factor of 16,44 and 84 is

$(2 \times 2) = 4$

Therefore HCF of 16,44 and 84 is 4.

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