Which is the greatest number that divides 732 and 1174 leaving 3 and 4
respectively as remainders?
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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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