-   Given numbers with two decimal places are : 1.75, 5.60 and 7.00. Without decimal places, these numbers are : 175, 560 and 700, whose H.C.F. is 35. H.C.F of given numbers = 0.35

The Highest Common Factor (HCF) of any two or more given numbers is the largest number that divides each one of them completely. In other words, it is the largest number that is a common factor of all the given numbers.

In this case, the HCF of 1.75, 5.6 and 7 is 0.35.

To find the HCF of these numbers, we will use the prime factorization method. Prime factorization is the process of finding the prime numbers that multiply together to produce the given number.

Let us start by finding the prime factorization of each of the three numbers:

1.75:
1.75 = 2 × 2 × 2 × 0.875

5.6:
5.6 = 2 × 2 × 2 × 2 × 1.4

7:
7 = 7
Now, let us find the HCF of these numbers:

HCF = 2 × 2 × 2 × 0.875
HCF = 0.35

Thus, the HCF of 1.75, 5.6 and 7 is 0.35.

Explanation:
• The HCF of any two or more given numbers is the largest number that divides each one of them completely.
• The prime factorization method is used to find the HCF of the given numbers.
• In this case, the HCF of 1.75, 5.6 and 7 is 0.35.

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