Find the greatest number that will divide 43,91,183 so as to leave that same remainder in each case
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We have to find Greatest Factor
In this case , we have to find HCF with remainder ( no mention of remainder in question)
Step
Find the Differences of numbers
Get the HCF ( that differences)
We have here 43 ,91 and 183
So differences are
183 - 91 = 92,
183 - 43 = 140,
91 - 43 = 48.
Now
HCF (48, 92 and 140)
As
48 = 2 x 2 x 2 x 2 x 3,
92 = 2 x 2 x 23,
140 = 2 x 2 x 5 x 7
HCF = 2 x 2 = 4.
And 4 is the required number.
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