Math Problem Statement
The highest common factor of two numbers is 14. The lowest common multiple of the same two numbers is 210. Both numbers are less than 100. What is the difference between the two numbers?
Solution
We are given the following details:
- The Highest Common Factor (HCF) of two numbers is 14.
- The Lowest Common Multiple (LCM) of the two numbers is 210.
- Both numbers are less than 100.
We need to find the difference between the two numbers.
Approach:
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Math Problem Analysis
Mathematical Concepts
Number Theory
Greatest Common Divisor
Least Common Multiple
Formulas
LCM(a, b) * GCD(a, b) = a * b
Theorems
Euclidean Algorithm
Suitable Grade Level
Grades 6-8