Question

फाइंड द ग्रेटेस्ट नंबर विच डिवाइड्स 260,1314 एंड 1331 एंड leaves reminder 5 in each case​

Answer 1

Answer:

Answer:

The greatest number is 17.

Solution :

The given numbers are :

260, 1314 and 1331

Now :

To find the greatest number that divides 2601314 and il and leaves remainder 5 in each case:

At first, we will subtract 5 from the given numbers.

Then :

We have to find the HCF of the resulting numbers:

In order to obtain the required number.

Now :

260 – 5= 255

1314 5 = 1309

1331 5= 1326

Now :

Prime factorisation of 2551309 and 1326:

255 = 3 x 5 x 17

1309 = 7 x 11 x 17

1326 = 2 x 3 x 13 x 17

HCF = 17

Hence :

The greatest number that divides 260, 1314 and 1331 and leaves remainder 5 in each case is 17.