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If two positive integers a and b are written as a = x3y2 and b = xy3 ; x, y are prime numbers, then HCF (a, b) is
- a)x4y3
- b)xy
- c)x2y3
- d)xy2
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If two positive integers a and b are written as a = x3y2 and b = xy3 ;...
Correct option D because HCF is the highest common factor.So here in a and in b common factor are x and y and their HCF is x2y2.
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If two positive integers a and b are written as a = x3y2 and b = xy3 ;...
Solution:
Given, a = x4 y2 and b = x2 y3 where a and b are prime numbers.
We need to find HCF(a, b).
Calculating HCF:
HCF(a, b) = x2y2
Explanation:
To find the HCF of a and b, we need to find the common factors of a and b and then take the product of the highest power of each common factor.
Let's find the factors of a and b.
Factors of a are: x, x, x, x, y, y.
Factors of b are: x, x, y, y, y.
Common factors are: x, x, y, y.
Highest power of x: x2
Highest power of y: y2
Therefore, HCF(a, b) = x2y2.
Hence, the correct answer is option 'D'.
Given, a = x4 y2 and b = x2 y3 where a and b are prime numbers.
We need to find HCF(a, b).
Calculating HCF:
HCF(a, b) = x2y2
Explanation:
To find the HCF of a and b, we need to find the common factors of a and b and then take the product of the highest power of each common factor.
Let's find the factors of a and b.
Factors of a are: x, x, x, x, y, y.
Factors of b are: x, x, y, y, y.
Common factors are: x, x, y, y.
Highest power of x: x2
Highest power of y: y2
Therefore, HCF(a, b) = x2y2.
Hence, the correct answer is option 'D'.
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If two positive integers a and b are written as a = x3y2 and b = xy3 ; x, y are prime numbers, then HCF (a, b) isa)x4y3b)xyc)x2y3d)xy2Correct answer is option 'D'. Can you explain this answer?
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