Find the greatest number which exactly divides 145, 360 and 578?
- 3
- 5
- 1
- None of these
Explanation
To find the greatest number that exactly divides 145, 360, and 578, we need to find their greatest common divisor (GCD or HCF).
Let's find the factors:
145 = 5 × 29
360 = 2^3 × 3^2 × 5
578 = 2 × 17 × 17
The only common factor is 1.
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