find the greatest number that will divide 130,150, and 200 leaving remainders 2, 6 and 8 respectively?
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first subtract respective remainders from the numbers
next write product of prime numbers.
find greatest common divisor or highest common factor
next write product of prime numbers.
find greatest common divisor or highest common factor
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there are two containers containing 24 litres and 60 litres of paint,respectively.the paint has to be filled into cans.find the maximum capacity of the can used such that paint from both the containers is emptied completely into the cans without mixing them.
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Answer:
The greatest number that will divide 128,144 and 192 completely, is the H.C.F. of these numbers is 16.
Step-by-step explanation:
The number divides 130,150and 200 leaving the remainder 2,6 and 8.
So, that number will divide (130-2), (150-6) and (200-8) completely.
Now, the greatest number that will divide 128,144 and 192 completely, is the H.C.F. of these numbers.
128=2*2*2*2*2*2*2
144=2*2*2*2*3*3
192=2*2*2*2*2*2*3
H.C.F. = 2*2*2*2= 16
The greatest number that will divide 128,144 and 192 completely, is the H.C.F. of these numbers is 16.
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