is the largest number that perfectly divides 480 and 270.

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Solution

The correct option is D 30
The largest number which divides both 480 and 270 perfectly is their HCF.

To find their HCF, we would use the Euclid's division algorithm.

Step 1 : $480 = 270 \times 1 + 210$
Step 2 : $270 = 210 \times 1 + 60$
Step 3 : $210 = 60 \times 3 + 30$
Step 4 : $60 = 30 \times 2 + 0$

HCF = 30

Therefore, the largest number which divides both the number is 30.

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