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If the L.C.M of x and y is z, their H.C.F is
- a)xy/z
- b)xyz
- c)(x + y)/z
- d)z/xy
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If the L.C.M of x and y is z, their H.C.F isa)xy/zb)xyzc)(x + y)/zd)z/...
HCF = Product of the 2 number/LCM = XY/Z
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If the L.C.M of x and y is z, their H.C.F isa)xy/zb)xyzc)(x + y)/zd)z/...
The LCM and HCF are important concepts in mathematics. The LCM is the smallest number that is divisible by both x and y, while the HCF is the largest number that divides both x and y. In this question, we are given that the LCM of x and y is z.
Explanation:
To find the relationship between x, y, and z, we need to understand the relationship between LCM and HCF. The relationship between LCM and HCF is given by the formula:
LCM x HCF = x x y
Using this formula, we can write:
z x HCF = x x y
Dividing both sides by z, we get:
HCF = (x x y) / z
Therefore, the correct option is A, which states that the HCF of x and y is xy/z.
Explanation:
To find the relationship between x, y, and z, we need to understand the relationship between LCM and HCF. The relationship between LCM and HCF is given by the formula:
LCM x HCF = x x y
Using this formula, we can write:
z x HCF = x x y
Dividing both sides by z, we get:
HCF = (x x y) / z
Therefore, the correct option is A, which states that the HCF of x and y is xy/z.
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