How To Find Greatest Common Factor Of Monomials
Greatest Common Gene of Monomials
How to find the greatest mutual factor (GCF) of two or more monomials in maths? Grade 11 maths questions are presented along with Detailed Solutions and explanations are included.
What is the greatest mutual cistron (GCF) of monomials?
The greatest mutual factor of two or more monomials is the greatest monomial that divides evenly into all these monomials. It is institute by starting time finding the prime factorization Prime number Factorization of each monomial.
Instance 1
Find greatest common factor of the monomials 12 x and 18 x 2 .
Solution
1) Write the prime factorization of the monomial 12 10 : 12 ten = 2 � 2 � iii � x
ii) Write the prime factorization of the monomial 18 ten ii : 18 x two = 2 � 3 � iii � 10 � 10
The greatest of the mutual gene (GCF) of 12 ten and 18 x ii is the product of all common factors in the prime factorization above:
Example two
Find greatest common factor of the monomials 30 x 2 y 3 , 42 ten 3 y 2 and 18 x 2 y 2
Solution
1) Write the prime factorization of the monomial 30 x 2 y iii = 2 � iii � 5 � x � x � y � y � y
2) Write the prime factorization of the monomial 42 x 3 y ii = 2 � three � 7 � 10 � x � x � y � y
3) Write the prime factorization of the monomial 18 ten 2 y 2 = ii � 3 � 3 � x � 10 � y � y
The greatest of the mutual cistron (GCF) of 30 x 2 y 3 , 42 x three y 2 and eighteen x 2 y 2 is the production of all mutual factors in the prime factorization in a higher place:
Reply the following questions
Detailed Solutions and explanations are included.
- Find the greatest mutual factor of the monomials 36 x 2 and 42 10 3.
- Find the greatest common factor of 45 ten 3, 60 x 2 and 75 x iv.
- What is the greatest common gene of fifty x 2 y 3 , 75 10 2 y 2 and 125 ten iv y 3?
- a) Observe the prime factorization of the monomials of 35 xiii y 2 and 42 xtwo y three .
b) Simplify the rational expression ( 35 xthree y 2 ) / (42 x2 y 3 )
Detailed Solutions and explanations are included.
More References and links
monomials Examples and Questions with Solutions
Eye Schoolhouse Maths (Grades 6, 7, viii, 9) - Free Questions and Problems With Answers
High Schoolhouse Maths (Grades x, eleven and 12) - Gratis Questions and Bug With Answers
Primary Maths (Grades 4 and v) with Gratuitous Questions and Problems With Answers
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