1) Find HCE
( i) 21658 and 8624
21658=8624 xa +4410
8624 4410 X 17 4214
시 410 4alu X1 + 196
4214 196 X 21+ 98
196
98 X 2 to
since i=0;
i since
98 is the HLF
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Answer:
Euclid division lemma:-
a = bq + r
0 ≤ r < b
a > b
(i)8624 and 21658
21658 = 8624(2) + 4410
8624 =4410(1) + 4214
4410 = 4214(1) + 196
4214 = 196(21) + 98
196 = 98(2) + 0
HCF of 8624 and 21658 is 98,
(ii)4052 and 12576
12576 = 4052(3) + 420
4052 = 420(9) + 272
420 = 272(1) + 148
272 = 148(1) + 124
148 = 124(1) + 24
124 = 24(5) + 4
24 = 4(6) + 0
HCF of 4052 and 12576 is 4.
Hope it helps...
Explanation:
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