ncert solutions class 10 maths chapter 1 · solution : we know, hcf x lcm=product of two numbers...
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QUESTION-1
Use Euclid's division algorithm to find the HCF of:
i)135 and 225
ii)196 and 38220
iii)867 and 225
Solution:
i) We start with the larger number i.e 225
By Euclid's division algorithm.we have
225= 1 X 135+90
135=1 x90+45
90=2x45+0
Hence, HCF(225, 135)=HCF(135,90)=HCF(90,45)=45
Therefore.the HCF of 135 and 225 is 45
ii) We start with the larger number i.e 38220
By Euclid's division algorithm.we have
38220= 196 X 195+0
196=196X 1 +0
Hence , HCF(196,38220)=196
Therefore.the HCF of 196 and 38220 is 196
iii) We start with the larger number i.e 867
By Euclid's division algorithm.we have
867=225 X 3+102
225=102 X 2+51
102=51 x2+0
Hence, HCF(867,225)=HCF(225, 102)=HCF(102,51 )=51
Therefore.the HCF of 867 and 225 is 51
Question 2:
Show that any positive odd integer is of the form 6q+1,6q+3 & 6q+5
where q is some integer.
NCERT SOLUTIONS CLASS 10 MATHS
CHAPTER 1 - REAL NUMBERS
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