Use Euclid’s division algorithm to find the HCF of:(I) 135 and 225Solution:We start with the larger number i.e 225 By Euclid’s division algorithm, we have 225=1×135 90135=1×90 4590=2×45 0Hence, HCF(225,135)=HCF(135,90)=HCF(90,45)=45Therefore,the HCF of 135 and 225 is 45#Math #RealNumbers - Study24x7
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10 followers study24x7 10 Dec 2018 01:23 PM study24x7 study24x7

Use Euclid’s division algorithm to find the HCF of:(I) 135 and 225

Solution:

We start with the larger number i.e 225 By Euclid’s division algorithm, we have 225=1×135+90
135=1×90+45
90=2×45+0
Hence, HCF(225,135)=HCF(135,90)=HCF(90,45)=45

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