中一maths

2007-09-01 5:53 am
用質因數分解法救下列各數的Hcf和Lcm:
1)56=
  64=
 HCF=
 LCM=
2)48=
  72=
 120=
 HCF=
 LCM=

回答 (3)

2007-09-01 6:06 am
✔ 最佳答案
1)56=1x56
2x28
4x14
7x8
so 56的因數有1,2,4,7,8,14,28,56

  64=1x64
2x32
4x16
8x8
so 64的因數有1,2,4,8,16,32,64
 HCF=8
 LCM=448

2)48=1x48
2x24
3X16
4X12
6X8
so48的因數有1,2,3,4,6,8,12,16,24,48
  72=1x72
2x36
3x24
4x18
6x12
8x9
so72的因數有1,2,3,4,6,8,9,12,18,24,36,72
 120=1x120
2x60
3x40
4x30
5x24
6x20
8x15
10x12
so 120 的因數有1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
 HCF=24
 LCM=720
2007-09-01 7:40 pm
1.56=2X2X2X7
64=2X2X2X2X2X2

HCF=2X2X2
  =2(3)<--3次方
LCM=2X2X2X2X2X2X7
   =2(6)X7

2.48=2X2X2X2X3
72=2X2X2X3X3

HCF=2X2X2X3
=2(3)X3
LCF=2X2X2X2X3X3
=2(4)X3(2)

應該係咁,因為我都唔係好記得T_T

2007-09-01 11:51:59 補充:
1.56=2X2X2X764=2X2X2X2X2X2HCF=2X2X2  =2(3)( =8)如要答案既LCM=2X2X2X2X2X2X7   =2(6)X7(  =448)如要答案既 第2題我唔記得打120個個應該係咁:2.48=2X2X2X2X3 72=2X2X2X3X3 120=2X2X2X3X5HCF=2X2X2X3  =2(3)X3( =24)如要答案既LCF=2X2X2X2X3X3X5  =2(4)X3(2)X5( =720)如要答案既
2007-09-01 6:02 am
1)56=2*2*2*7
  64=2*2*2*2*2*2
HCF=2*2*2=8
 LCM=2*2*2*2*2*2*7=448
2)48=2*2*2*2*3
  72=2*2*2*3*3
 120=2*2*2*3*5
 HCF=2*2*2*3=24
 LCM=2*2*2*2*3*3*5=720


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