Arithmetic
Additive Identity
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Cartesian System
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Quadrilateral
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range

Solved Problems
Home >> Numbers >> Coprime Numbers >> Examples

Coprime Numbers : Solved Examples

Numbers and Numerals Composite Numbers Prime Numbers Facts (Prime Numbers) Even Numbers
Odd Numbers Natural Numbers Whole Numbers Predecessor Number Successor Number
Number Expansion Number Comparison Literal Numbers Roman Numbers Coprime Numbers
Perfect Numbers Multiplication Properties of Numbers Order of Numbers Sieve of Eratosthenes Number line
Square Numbers Shortcut Method of Numbers Cube Numbers Real Numbers

Find Whether the following numbers are coprime numbers

A) 7 and 16
B) 21 and 10
C) 25 and 35
D) 81 and 13
E) 40 and 50
A) 7 and 16

First find the factor of given numbers 7 and 16

Factor of 7 are 1, 7

Factor of 16 are 1, 2, 4, 8, 16

On comparing the factors of given numbers 7 and 16,

you can see that both have only 1 as a common factor.

Hence, given numbers 7 and 16 are Coprime Numbers.




B) 21 and 10

Firstly, let's find the factor of given numbers 21 and 10

Factor of 21 are 1, 3, 7, 21

Factor of 10 are 1, 2, 5, 10

On comparing the factors of given numbers 21 and 10,

you can see that common factor in both the numbers is only 1.

Hence, given numbers 21 and 10 are Coprime Numbers.




C) 25 and 35

First find the factor of given numbers 25 and 35

Factor of 25 are 1, 5, 25

Factor of 35 are 1, 5, 7, 35

On comparing the factors of given numbers 25 and 35,

you can see that common factor are 1 and 5.

Hence, given numbers 25 and 35 are not Coprime Numbers.




D) 81 and 13

Firstly, let's find the factor of given numbers 81 and 13

Factor of 81 are 1, 3, 9, 27, 81

Factor of 13 are 1, 13

On comparing the factors of given numbers 81 and 13,

you can see that both have only one factor in common and that is 1.

Hence, it's proved that numbers 81 and 13 are Coprime Numbers.




E) 40 and 50

Let's find factor of 40 and 50 and they are:

Factor of 40 are 1, 2, 4, 5, 8, 10, 20, 40

Factor of 50 are 1, 2, 5, 10, 25, 50

Now, when we compare we notice that factors 1, 2, 5, 10 are common in list of factors of given numbers 40 and 50.

Hence, numbers 40 and 50 are not Coprime Numbers.

Related Question Examples

  • Find Whether the following numbers are coprime numbers

    A) 7 and 16
    B) 21 and 10
    C) 25 and 35
    D) 81 and 13
    E) 40 and 50
  • Copyright@2019 Algebraden.com (Maths, Geometry resource for kids)