find the hcf of 17x^2y and 34xy^2
Answers
−17x5y3-17x5y3 , 34x3y234x3y2 , 51xy51xy
Since −17x5y3,34x3y2,51xy-17x5y3,34x3y2,51xy contain both numbers and variables, there are two steps to find the GCF(HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for −17x5y3,34x3y2,51xy-17x5y3,34x3y2,51xy:
1. Find the GCF for the numerical part −17,34,51-17,34,51
2. Find the GCF for the variable part x5,y3,x3,y2,x1,y1x5,y3,x3,y2,x1,y1
3. Multiply the values together
Find the common factors for the numerical part:
−17,34,51-17,34,51
The factors for −17-17 are −17,−1,1,17-17,-1,1,17.
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−17,−1,1,17-17,-1,1,17
The factors for 3434 are 1,2,17,341,2,17,34.
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1,2,17,341,2,17,34
The factors for 5151 are 1,3,17,511,3,17,51.
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1,3,17,511,3,17,51
List all the factors for −17,34,51-17,34,51 to find the common factors.
−17-17: −17,−1,1,17-17,-1,1,17
3434: 1,2,17,341,2,17,34
5151: 1,3,17,511,3,17,51
The common factors for −17,34,51-17,34,51 are 1,171,17.