Question : Find the HCF of 69, 96, and 99.
Option 1: 3
Option 2: 9
Option 3: 1
Option 4: 6
Correct Answer: 3
Solution :
69 = 23 × 3 96 = 2 × 2 × 2 × 2 × 2 × 3 99 = 3 × 3 × 11 $\therefore$ The highest common factor (HCF) of 69, 96, and 99 = 3 Hence, the correct answer is 3.
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Question : Find the HCF of 364 and 724.
Option 1: 4
Option 2: 2
Option 3: 6
Option 4: 364
Question : The areas of the two triangles are in the ratio 4 : 3 and their heights are in the ratio 6 : 5. Find the ratio of their bases.
Option 1: 5 : 6
Option 2: 10 : 9
Option 3: 6 : 5
Option 4: 9 : 10
Question : Three numbers are in the ratio of 5 : 7 : 9 and their LCM is 34,650. Their HCF is:
Option 1: 315
Option 2: 55
Option 3: 110
Option 4: 99
Question : Find the HCF of 78, 84, 90 and 112.
Option 1: 1
Option 3: 5
Option 4: 7
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: $\frac{1}{300}$
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