Question : Find the HCF of 240, 280, and 560.
Option 1: 30
Option 2: 10
Option 3: 20
Option 4: 40
Correct Answer: 40
Solution : Given numbers: 240, 280 and 560 240 = 2 × 2 × 2 × 2 × 3 × 5 280 = 2 × 2 × 2 × 5 × 7 560 = 2 × 2 × 2 × 2 × 5 × 7 ⇒ HCF = 2 × 2 × 2 × 5 = 40 Hence, the correct answer is 40.
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Question : The LCM of two numbers is five times their HCF. If the product of the two numbers is 20480, then find their HCF and LCM, respectively.
Option 1: 46 and 230
Option 2: 48 and 240
Option 3: 64 and 320
Option 4: 56 and 280
Question : Find the HCF of $\frac{11}{25}, \frac{9}{20}, \frac{16}{15}$, and $\frac{10}{33}$.
Option 1: $\frac{1}{3300}$
Option 2: $\frac{1}{330}$
Option 3: $\frac{1}{33}$
Option 4: $\frac{1}{300}$
Question : Find the greatest number that exactly divides 15, 30, and 40.
Option 1: 3
Option 2: 40
Option 3: 5
Option 4: 15
Question : Find the HCF of 69, 96, and 99.
Option 2: 9
Option 3: 1
Option 4: 6
Question : Find the HCF of 364 and 724.
Option 1: 4
Option 2: 2
Option 3: 6
Option 4: 364
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