Free Practice Question
PS · Problem Solving
sub-505
Divisibility/Multiples/Factors
The highest common factor of two numbers is 13 and their least common multiple is 455. If the numbers do not differ by more than 60, what is the total of the two numbers?
Answer Choices
Correct answer marked belowA
14
B
38
C
40
156
Correct
E
190
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Explanation
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Official Explanation
Official
Given that the GCD of the two numbers is 13, it follows that both numbers are multiples of 13. The sum of two multiples of 13 will…
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Comments
2
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S
SuraiyaJun 19, 2024
Any shortcuts for solving this faster?
A
ArinFeb 10, 2025
cheers!
What this question tests
What it tests
Your understanding of divisibility rules, least common multiples, and greatest common factors.
Common trap
Forgetting that 1 is not prime and that every integer divides 0.
Details
Difficulty
sub-505
Type
PS
Category