Question

QIII) Solve the following.

1) Find the HCF of 95, 90, 100.

Answer 1

SOLUTION

TO DETERMINE

The HCF of 95 , 90 , 100

CONCEPT TO BE IMPLEMENTED

HCF :

The full form HCF is Highest Common Factor.

HCF of given real numbers is defined as a greatest factor of the given numbers which divides each of the given numbers

CALCULATION

USING PRIME FACTORISATION

Here three given numbers are 95 , 90 , 100

$\sf{ 95 = 5 \times 19\: }$

$\sf{90 =2 \times 3 \times 3 \times 5 }$

$\sf{100 = 2 \times 2 \times 5 \times 5 \: }$

Hence the required HCF = 5

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Answer 2

We have:

The HCF of 95, 90 and 100

We have to find, the HCF of 95, 90 and 100.

Solution:

The factors of 19 are:

1, 5 and 19

The factors of 90 are:

1, 2,3 5, 6, 9, 10, 15, 18, 30, 45 and 90

The factors of 100 are:

1, 2, 3, 4, 5, 6, 10, 20, 25, 50 and 100

The common factor of 95, 90 and 100 = 1 and 5

∴ The HCF of 95, 90 and 100 = 1 × 5 = 5

Thus, the HCF of 95, 90 and 100 is "equal to 5".