Question

determine the HCF of 260, 585 and 1404.​

Answer 1

Answer:

the HCF of given three numbers is 13.

Step-by-step explanation:

To find the HCF in general we can split the given three numbers into their factors

260=2×2×5×13

585= 5×13×3×3

1404=2×2×13×3×3×3

The factors which are common to all the three are 13

Therefore the HCF of given three numbers is 13.

Answer 2

HCF = 13

Step-by-step explanation:

We need to find the HCF of 260, 585 and 1404.​ For this, lets find the factors of the all numbers

Factor of 260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Factors of 585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Factors of 1404 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404

The highest common factor of the above factors is 13. Hence, the HCF of 260, 585 and 1404 is 13.

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