Question 1. Asked on :29 March 2019:04:53:40 PM
Use Euclid’s division algorithm to find the HCF of :
(i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255
-Added by Rohit rajput Mathematics » Real Numbers
Answer:
(i)135 and 225
a = 225, b = 135 {Greatest number is ‘a’ and smallest number is ‘b’}
Using Euclid’s division algorithm
a = bq + r (then)
225 = 135 ×1 + 90
135 = 90 ×1 + 45
90 = 45 × 2 + 0 {when we get r=0, our computing get stopped}
b = 45 {b is HCF}
Hence: HCF = 45
(ii)196 and 38220
a = 38220, b = 196 {Greatest number is ‘a’ and smallest number is ‘b’}
Using Euclid’s division algorithm
a = bq + r (then)
38220= 196 ×195 + 0 {when we get r=0, our computing get stopped}
b = 196 {b is HCF}
Hence: HCF = 196
(iii)867 and 255
a = 867, b = 255 {Greatest number is ‘a’ and smallest number is ‘b’}
Using Euclid’s division algorithm
a = bq + r (then)
38220= 196 ×195 + 0 {when we get r=0, our computing get stopped}
b = 196 {b is HCF}
Hence: HCF = 196
-Answered by Himanshi Verma On 29 March 2019:04:55:16 PM
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