Math Problem Statement

  1. Two numbers are said to be in lowest term if they have a) 1 as HCF b) 1 as LCM c) 2 as common factor

Solution

Two numbers are said to be in their lowest terms if their HCF (Highest Common Factor) is 1. This means that the only common divisor between the two numbers is 1, and they cannot be further reduced or simplified.

Answer:

a) 1 as HCF

Explanation:

  • Lowest terms implies that two numbers have no common factors other than 1.
  • When the HCF of two numbers is 1, they are said to be coprime or relatively prime to each other.

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Related Questions:

  1. What is the definition of HCF and how is it calculated?
  2. How do you find if two numbers are coprime?
  3. What is the difference between HCF and LCM?
  4. Can two consecutive integers have a common factor other than 1?
  5. How can you simplify fractions to their lowest terms?

Tip:

To check if two numbers are in their lowest terms, find their HCF. If it is 1, they are in the lowest terms.

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Math Problem Analysis

Mathematical Concepts

Number Theory
Highest Common Factor (HCF)
Coprime Numbers

Formulas

HCF(a, b) = 1 if a and b are coprime

Theorems

Coprime Theorem
Properties of HCF and LCM

Suitable Grade Level

Grades 6-8