Greatest common factor of the given numbers [tex]42a^{5} b^{3} , 35a^{3} b^{4}, 42a b^{4}[/tex] is equals to [tex]7a b^{3}[/tex] .
What is common factor?
" Common factor is defined as the multiple of a given numbers which is common in different sets of number, it is represented by whole number."
According to the question,
Given numbers,
[tex]42a^{5} b^{3} \\ \\35a^{3} b^{4}\\ \\42a b^{4}[/tex]
Factors of the given numbers,
[tex]42a^{5} b^{3} = (2)(3)(7)a^{5} b^{3} \\ \\35a^{3} b^{4}= (5)(7)a^{3} b^{4}\\ \\42a b^{4}=(2)(3)(7)a b^{4}[/tex]
Greatest common factors of the given number = [tex]7ab^{3}[/tex]
Hence, greatest common factor of the given numbers [tex]42a^{5} b^{3} , 35a^{3} b^{4}, 42a b^{4}[/tex] is equals to [tex]7a b^{3}[/tex] .
Learn more about common factors here
https://brainly.com/question/11221202
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