Question

find hcf of 100,175,300,​

Answer 1

$\mathtt{\huge{\bf{\underline{\red{Answer :-}}}}}$

_5_|___100__

_5_|___20___

_2_|____4___

_2_|____2___

__|____1____

100 = 5 × 5 × 2 × 2

_5_|___175____

_5_|___35____

_7_|___7_____

__|___1______

175 = 5 × 5 × 7

_5_|___300__

_5_|___150__

_5_|____30___

_3_|____6____

_2_|____2____

__|_____1____

300 = 5 × 5 × 5 × 3 × 2

___________________________________

Finding, the HCF will be

100 = 5 × 5 × 2 × 2

175 = 5 × 5 × 7

300 = 5 × 5 × 5 × 3 × 2

HCF = 5 × 5

Hence, the HCF(100,175,300) will be 25 .

Answer 2

Answer:

The HCF of 100, 175, and 300 is 25.

Step-by-step explanation:

Given: The numbers are 100, 175, and 300.

We have to find the HCF of the above numbers.

• As we know, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.
• HCF is also known as the greatest common factor.

We are solving in the following way:

We have,

The numbers are 100, 175, and 300.

First, we will find the factors of the above numbers.

The factors of 100 are: $1, 2, 4, 5, 10, 20, 25, 50, 100$

The factors of 175 are: $1, 5, 7, 25, 35, 175$

The factors of 300 are: $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300$

From the above, we can see that 25 is the highest number among all the common factors of the given numbers.

So, the greatest common factor(HCF) is 25.

NOTE:

Q. find HCF of 100,175,300.