Question

hcf of 75,60,210



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Answer 1

Answer:

1

3

5

15

Step-by-step explanation:

Factors of 75 are 1, 3, 5, 15, 25 and 75. Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 30 and 60. Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105 and 210

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Answer 2

Here it is given that,

$75,60,210$

We have to find the HCF of the given numbers,

For that first, we need to know the prime factors of the given numbers,

The prime factors of $75$ are $3, 5$  and $5.$

The prime factors of $60$ are $2, 2, 3$ and $5.$

The prime factors of $210$ are $2, 3, 5$ and $7.$

Now from the above prime factors, we have to identify the common prime factors,

$=>75=3\times 5 \times 5\\=>60=2\times 2 \times 3 \times 5\\=>210=2\times 3\times 5 \times 7$

From above we see that the common prime factor is $3$ and $5.$

By calculating the GCF (greatest common factor)

$GCF=3\times 5\\GCF=15$

Hence, the greatest common factor for $75,60,210$ is $15.$