Question

find the greatest number That will didvide 76,114,152leaving the remainders 2,3 and 4 respectively​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Given:

Three numbers 76 and 114 and 152 are the remainder 2,3 and 4 respectively when divided by a number.

To Find:

Find the greatest number that will divide 76 and 114 and 152 leaving the remainder 2,3 and 4 respectively

Solution:

⇒    On dividing 76, the remainder is 2,

      this means the number divides  exactly

 

⇒  Similarly, on dividing 114, the remainder is 3,

   meaning the number divides  exactly

⇒  Similarly, on dividing 152, the remainder is 4,

   meaning the number divides  exactly  

So the number divided  exactly

  Factors of    

 Factors of    

 Factors of    

So the greatest common factor is  

 

Hence the greatest number of such sort is 38