Math, asked by ayushcom3gmailcom, 1 year ago

find the HCF of 135 and 196 by Euclid division algorithm

Answers

Answered by akankshaverma
1
196=135*1+61
135=61*2+9
61=9*6+7
9=7*1+2
7=2*3+1
2=1*2+0
hence,hcf of 135 and 196 is 1

ayushcom3gmailcom: hi thanks for helping me
Answered by VijayaLaxmiMehra1
2
Hey!!

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By Euclid's Division Lemma

a = bq + r ( where 0 < r< b)

For a = 196 b = 135

196 = 135 × 1 + 331 (r # 0)

For a = 331 b = 135

331 = 135 × 270 + 61 ( r # 0 )

For a = 135 b = 61

135 = 61 × 2 + 122 ( r # 0 )

For a = 122 b = 61

122 = 61 × 2 + 0 ( r = 0)

Hence HCF [ 135 and 196] = 61.

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Hope it will helps you:-)

akankshaverma: 196=135*1 + 61.... r=61 not 331
VijayaLaxmiMehra1: ( r # 135)
VijayaLaxmiMehra1: Ok clear
akankshaverma: hmm
VijayaLaxmiMehra1: Answer is correct or wrong
akankshaverma: wrong as 61 is not a factor of 135
VijayaLaxmiMehra1: 1 min you are not asking this question.
akankshaverma: nor a factor of 196
akankshaverma: hcf that means highest common factor
akankshaverma: nd 61 is not a factor..
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