Question

find the hcf of 348 and 319 by division method. reduce the fraction of into lowest fraction 348 and 319​

Answer 1

To Find :- The HCF of 348 and 319 by division method.

Solution :-

dividing 348 by 319 we get,

319 ) 348 ( 1

-319

29

now, dividing 319 by 29 we get,

29 ) 319 ( 11

-319

0

As we can see that, with divisor 29 we gets remainder as 0 .

Therefore, we can conclude that, HCF of 348 and 319 is equal to 29 .

Part 2) :-

In order to reduce the fraction into lowest fraction we have to cross out the common factors .

So,

→ 348/319

→ (29 × 12)/(29 × 11)

cancel 29 from both numerator and denominator now,

→ 12/11 (Ans.)

In order to understand the divison please refer to image also .

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