Question

find the
hcf of 70,105,174​

Answer 1

Answer:

70 = 2×5×7

105 = 3×5×7

174 = 2×3×29

HCF -> 1

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Answer 2

Answer:

The HCF of 70, 105, and 174​ is 1.

Step-by-step explanation:

Given: The numbers are 70, 105, and 174​.

We have to find the HCF of the above numbers.

• As we know that the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We are solving in the following way:

We have,

The numbers are 70, 105, and 174​.

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

The factors of 70 are: $1, 2, 5, 7, 10, 14, 35, 70$

The factors of 105 are: $1, 3, 5, 7, 15, 21, 35, 105$

The factors of 174 are: $1, 2, 3, 6, 29, 58, 87, 174$

From the above, we can see that 1 is the largest positive integer that divides each of the given integers.

Therefore the greatest common factor(HCF) is 1.