Question

USE ECLID'S DIVISION ALOGARITHM TO FIND THE H.C.F OF I)900,270 ii)38220,196 iii)2032,1651​

Answer 1

Answer:

1) 900 and 270, start with the larger

900 and 270, start with the largerinteger, that is 900. Apply the

900 and 270, start with the largerinteger, that is 900. Apply theDivision lemma, we get

900 and 270, start with the largerinteger, that is 900. Apply theDivision lemma, we get900 = 270 x 3 + 90

900 and 270, start with the largerinteger, that is 900. Apply theDivision lemma, we get900 = 270 x 3 + 90270 = 90 x 3 + 0

900 and 270, start with the largerinteger, that is 900. Apply theDivision lemma, we get900 = 270 x 3 + 90270 = 90 x 3 + 0The remainder has now become

900 and 270, start with the largerinteger, that is 900. Apply theDivision lemma, we get900 = 270 x 3 + 90270 = 90 x 3 + 0The remainder has now becomezero. Now our procedure stops.

900 and 270, start with the largerinteger, that is 900. Apply theDivision lemma, we get900 = 270 x 3 + 90270 = 90 x 3 + 0The remainder has now becomezero. Now our procedure stops.Since the divisor at this stage is 90.

900 and 270, start with the largerinteger, that is 900. Apply theDivision lemma, we get900 = 270 x 3 + 90270 = 90 x 3 + 0The remainder has now becomezero. Now our procedure stops.Since the divisor at this stage is 90.Therefore,

900 and 270, start with the largerinteger, that is 900. Apply theDivision lemma, we get900 = 270 x 3 + 90270 = 90 x 3 + 0The remainder has now becomezero. Now our procedure stops.Since the divisor at this stage is 90.Therefore,HCF ( 900, 270 ) = 90

Step-by-step explanation:

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Answer 2

$900 = 270 \times 3 + 90 \\ 270 = 90 \times 3 + 0 \\ hcf = 90$

$2032 = 127 \times 6 + 0 \\ 1651 = 127 \times 13 + 0 \\ hcf = 127$

$38220 = 196 \times 195 + 0 \\ 196 = 196 + 1 + 0 \\ hcf = 196$