Find the greatest common divisor of 90, 1020, and 2340.
Find the greatest common divisor of 90, 1020, and 2340.
90, 1020 और 2340 महत्तम सार्व भाजक ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
30
Prime factorization
90 = \(2\times 3^2 \times 5\)
1020 = \(2^2 \times 3 \times 17\)
2340 = \(2^2 \times 3 \times 5 \times 13\)
Take common prime factors with smallest powers
common factors: \(2^1, 3^1, 5^1\)
Multiply common factors to get GCD
GCD = \(2\times 3 \times 5 = 30\)
Answer = 30
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