Using occludes division algorithm find HCF of 255 1309 and 1326
Answers
Answered by
90
Hello my dear friend .
answer is here ✓✓
-----------------------------------------
By Euclid's division lemma on 255 and 1309
For every point of integer a and b there since exist unique integer q and r
such that a = bq + r
where 0 ≤ r < b
so here a > b
a = 1309 and b = 255
=> 1309 = 255 × 5 + 34
=> 255 = 34 × 7 + 17
=> 34 = 17 × 2 + 0
here r = 0 H.C.F of 1309 and 255 is 17
Now apply Euclid's division lemma on 17 and 1326
Here ,
a = 1326 and b = 17
so That a > b
=> 1326 = 17 × 78 + 0
Here, r = 0 , so HCF of 17 and 1326 is 17 .
--------------------------------------------------------
HCF OF 255 , 1309 AND 1326 IS 17 .
_______________________________
<<<☺☺>>>
answer is here ✓✓
-----------------------------------------
By Euclid's division lemma on 255 and 1309
For every point of integer a and b there since exist unique integer q and r
such that a = bq + r
where 0 ≤ r < b
so here a > b
a = 1309 and b = 255
=> 1309 = 255 × 5 + 34
=> 255 = 34 × 7 + 17
=> 34 = 17 × 2 + 0
here r = 0 H.C.F of 1309 and 255 is 17
Now apply Euclid's division lemma on 17 and 1326
Here ,
a = 1326 and b = 17
so That a > b
=> 1326 = 17 × 78 + 0
Here, r = 0 , so HCF of 17 and 1326 is 17 .
--------------------------------------------------------
HCF OF 255 , 1309 AND 1326 IS 17 .
_______________________________
<<<☺☺>>>
DaIncredible:
great as always :P ✌
Answered by
15
Answer:
Step-by-step explanation:
Euclid's division lemma on 255 and 1309
For every point of integer a and b there since exist unique integer q and r
such that a = bq + r
where 0 ≤ r < b
so here a > b
a = 1309 and b = 255
=> 1309 = 255 × 5 + 34
=> 255 = 34 × 7 + 17
=> 34 = 17 × 2 + 0
here r = 0 H.C.F of 1309 and 255 is 17
Now apply Euclid's division lemma on 17 and 1326
Here ,
a = 1326 and b = 17
so That a > b
=> 1326 = 17 × 78 + 0
Here, r = 0 , so HCF of 17 and 1326 is 17 .
--------------------------------------------------------
HCF OF 255 , 1309 AND 1326 IS 17 .
_______________________________
Similar questions