the number 525 and 3000 are both divisible only by 3, 5, 15, 25 and 75? what is HCF (525, 3000) justify your answer.
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Hi ,
Definition :
_________
Highest Common Factor (HCF):
The greatest number which is the
common factor of two or more given
numbers is called HCF or G.C.D .
Factors of 525
= {1,3,5,7,15,21,25,35,75,105,175,525 }
Factors of 3000
={ 1,2,3,4,5,6,8,10,12,15,20,25,30,40,
75 ,100, 120,150,200,250,300,375,
500,600,750,1000,1500,3000}
Common factors of 525 and 3000
= { 1,3,5,15,25,75 } ------(1)
Therefore 525 and 3000 are
divisible by 3,5,15,25,75.
HCF (525, 300) = 75 from ( 1 )
Highest Common Factor.
I hope this will useful to you.
******
Definition :
_________
Highest Common Factor (HCF):
The greatest number which is the
common factor of two or more given
numbers is called HCF or G.C.D .
Factors of 525
= {1,3,5,7,15,21,25,35,75,105,175,525 }
Factors of 3000
={ 1,2,3,4,5,6,8,10,12,15,20,25,30,40,
75 ,100, 120,150,200,250,300,375,
500,600,750,1000,1500,3000}
Common factors of 525 and 3000
= { 1,3,5,15,25,75 } ------(1)
Therefore 525 and 3000 are
divisible by 3,5,15,25,75.
HCF (525, 300) = 75 from ( 1 )
Highest Common Factor.
I hope this will useful to you.
******
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