if x=2^2×3×5^2and y=2^2×3^3 then the hcf (x,y)
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HCF (x, y) = 12
Step-by-step explanation:
Given,
x = 2² × 3 × 5²
= 2 × 2 × 3 × 5 × 5
y = 2² × 3³
= 2 × 2 × 3 × 3 × 3
We see that, 2, 2 and 3 are common in both x and y.
Thus HCF (x, y) = 2 × 2 × 3
= 12
Note: To find the HCF (or highest common factor), we find the exact common terms in two or more expressions. The find the product of the common terms; the product is the required HCF.
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