if HCF of 2008 ,2018 is 2 verify it by using Euclid algorithm
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Answered by
12
Hey buddy here is ur answer !!!
☆ By using Euclid algorithm :
》2018 > 2008
》2018 = 2008 × 1 + 10
》2008 = 10 × 2 + 8
》10 = 8 × 1 + 2
》8 = 2 × 4 + 0
☆ By using Euclid algorithm :
》2018 > 2008
》2018 = 2008 × 1 + 10
》2008 = 10 × 2 + 8
》10 = 8 × 1 + 2
》8 = 2 × 4 + 0
Answered by
7
Answer:
Step-by-step explanation:
Euclid's algorithm : a=bq+r
2018/2008 => q =1 , r=10 therefore, 2018 = 2008 X 1+10
2008/10 => q=200 , r=8 " " , 2008= 10 X 200+8
10/8 => q=1 .r= 2 " ", 10 = 8 X 1+ 2
8/2 => q = 4 , r= 0 " " . 8 = 2 X 4+0
therefore the HCF(2018,2008)= 2
HENCE PROVED
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