Question

Find the largest number which divides 2271. 3079 and 3355 leaving remainder
10, 20 and 30 respectively.​

Answer 1

Step-by-step explanation:

Firstly subtract the remainders you are given from the respective numbers,

2271 - 10 = 2261

3079 - 20 = 3069

3355 - 30 = 3325

Now, you need to do the prime factorisation of the difference you have got.

After you got the factors find out the HCF of the following that will be 7 and 19 = 7 X 19 = 133

133 is the largest no which divides 2271, 3079, 3355 leaving remainder 10, 20, 30 respectively.

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