Suppose, you have 108 green marbles and 144 red marbles. You decide to separate them into packages of equal number of marbles of same colour. Find the maximum possible number of marbles in each package.
Explanation:
Maximum possible number of marbles that divides both 108 and 144 is equal to the greatest common divisor of 108 and 144.
∴ 108 = 4 × 27 = 22 × 33 & 144 = 122 = 24 × 32
⇒ GCD/HCF of 108 and 144 = 22 × 32 = 36.
Hence, option (b).
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