Question
Download Solution PDF4052 तथा 12576 का महत्तम समापवर्तक क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFस्पष्टीकरण -
आइए यूक्लिडियन एल्गोरिथम का उपयोग करें:
\(\text{Step 1: } 12576 = 4052 \times 3 + 420 \\ \text{Step 2: } 4052 = 420 \times 9 + 332 \\ \text{Step 3: } 420 = 332 \times 1 + 88 \\ \text{Step 4: } 332 = 88 \times 3 + 68 \\ \text{Step 5: } 88 = 68 \times 1 + 20 \\ \text{Step 6: } 68 = 20 \times 3 + 8 \\ \text{Step 7: } 20 = 8 \times 2 + 4 \\ \text{Step 8: } 8 = 4 \times 2 + 0 \)
अंतिम अशून्य शेषफल 4 है।
इसलिए, 4052 और 12576 का महत्तम समापवर्तक 4 है।
अतः सही उत्तर 4 है।
Last updated on Jan 29, 2025
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