The HCF of 75 and 180 is equal to

11

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12

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13

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15

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Solution

The correct option is D $15$
The given numbers are $75$ and $180$ .
To find out: The HCF of the given numbers.

We can represent the given numbers as the product of their prime factors as:
$75 = 3 \times 5 \times 5$
$180 = 2 \times 2 \times 3 \times 3 \times 5$

We know that, the HCF of two numbers is the product of the factors common between them.

Here, $3$ and $5$ are the factors common between $75$ and $180$ .

So, HCF $= 3 \times 5$
$= 15$

Hence, the HCF of $75$ and $180$ is $15$ .

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Similar questions

The age of 15 students in a class is given below:

10, 11, 12, 10, 10, 12, 13, 13, 11, 10, 12, 11, 12, 13, 10

Find the frequency of age 13.

15 : 11

13

2145

$χ$	$10$	$11$	$12$	$13$	$14$	$15$	$16$	$17$	$18$	$19$
$f$	$8$	$15$	$20$	$100$	$98$	$95$	$90$	$75$	$50$	$30$

Two numbers are in the ratio 11:13. If their HCF is 15, what are the numbers?

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