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Use Euclid's algorithm to find the HCF of(i) 900 and 270 (ii) 196 and 38220(iii) 1651 and 2032 |
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Answer» Answer: Step-by-step EXPLANATION: Euclid's ALGORITHM : a = bq + r ( 1 ) 900 and 270 Here a = 900 and b = 270 a = bq + r 900 = 270 × 3 + 90 270 = 90 × 3 + 0 Hence 90 is the hcf of 900 and 270. ( 2 ) 196 and 38220 Here a = 38220 and b = 196 a = bq + r 38220 = 196 × 195 + 0 Hence 195 is the hcf of 38220 and 196. ( 3 ) 1651 and 2032 Here a = 2032 and b = 1651 a = bq + r 2032 = 1651 × 1 + 381 1651 = 381 × 4 + 127 381 = 127 × 3 + 0 Hence 127 is the hcf of 1651 and 2032. |
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