the greatest number that will divide 49 97 and 133 leaving the same remainder in each case is
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the greatest number that will divide 49 97 and 133 leaving the same remainder in each case is
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Step-by-step explanation:
Given Problem:-
the greatest number that will divide 49 97 and 133 leaving the same remainder in each ccase?
Solution:-
Given numbers =49,97,133
Let the same remainder =r
then the greatest number that will divide 49 97 and 133 leaving the same remainder in each case is the HCF of 49-r , 97-r, 133-r
Here the remainder should be write like this
now The HCF of the given numbers
97-43;133-43;133-97
=>HCF of 54,90,36
=>54×2×3×3×3
90=2×3×3×5
36=2×2×3×3
HCF =2×3×3
=>HCF=18
Answer:-
The greatest number that will divide 49 97 and 133 leaving the same remainder in each case is 18
Verified answer
Answer:
take hcf of all three numbers
pls mark the brainliest answer