Question

find the hcf of 690 and 960 with the help of long division method
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Answer 1

690/2 = 345

345/3 = 115

115/5 = 23

23/23 = 1

690 = 2*3*5*23

960/2 = 480

480/2 = 240

240/2 = 120

120/2 = 60

60/2 = 30

30/2 = 15

15/3 = 5

5/5 = 1

960 = 2*2*2*2*2*2*3*5

As we can see that 5 is the highest factor common in both the numbers, so 5 is the HCF of the numbers 960 and 690.

HOPE IT HELPS

Answer 2

Answer: 960=270+690×1

690=150+270×2

270=150+120×1

150=120+30×1

120=30+0×4

Therefor, h.c.f.=30