1.

Which is the greatest number that divides 732 and 1174 leaving 3 and 4respectively as remainders? PLEASE GIVE ANSWER HERE ​

Answer»

Step-by-step explanation:

105 is the largest number which DIVIDES 318 and 739 leaving remainder 3 and 4 respectively.

Step-by-step explanation:

To find : The largest number which divides 318 and 739 leaving remainder 3 and 4 respectively ?

SOLUTION :

Number which divides 318 and 739 leaving remainder 3 and 4 respectively

318-3=315

739-4=735

Now, We find the Highest common FACTOR of the numbers 315 and 735

315=3\times 3\times 5\times 7315=3×3×5×7

735=3\times 5\times 7\times 7735=3×5×7×7

HCF(315,735)=3\times 5\times 7HCF(315,735)=3×5×7

HCF(315,735)=105HCF(315,735)=105

Therefore, 105 is the largest number which divides 318 and 739 leaving remainder 3 and 4 respectively.


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