Question
What is the largest number that divides both 175 and 385 exactly?
A. 15
B. 30
C. 35
D. 45
Answer: C. 35
Solution:
Let’s do a quick prime factorization.
175 = 5 × 5 × 7
385 = 5 × 7 × 11
The prime factors in common are 5 × 7 so the HCF is 35.
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