Question : The greatest number which when divides 456 and 553 leaves the remainder as 6 and 3, respectively is:
Option 1: 5
Option 2: 50
Option 3: 10
Option 4: 30
Correct Answer: 50
Solution :
Given:
The greatest number which when divides 456 and 553 leaves the remainder as 6 and 3, respectively.
The number will divide (456 – 6) = 450 and (553 – 3) = 550 completely.
Now the greatest number that will divide 450 and 550 completely is the HCF of 450 and 550.
$\therefore$ The HCF of 450 and 550 is 50.
Hence, the correct answer is 50.
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