find the hcf by long division method:
1) 84,144.
2)120,168.
3)430,516,817.
Answers
Step-by-step explanation:
1) 84)144(1
84
*******
60)84(1
60
*****
24)60(2
48
*******
12)24(2
24
******
00
HCF = 12
2) 120)168(1
120
******
48)120(2
96
*****
24)48(2
48
*****
00
HCF = 24
3) 430)516(1
430
*******
86)430(5
430
*******
000
HCF OF 430 & 516 IS 86
NOW,
HCF OF 86 & 817
86)817(9
774
******
43)86(2
86
*****
00
HCF = 43
Given :
1) 84,144.
2)120,168.
430 , 516 and 817
To Find : HCF by long division
Solution:
HCF = Highest common factor
84 _| 144 |_1
84
___
60 _| 84 |_ 1
60
____
12 _| 60 |_ 5
60
___
0
12 is the HCF
84 144
2 42 72
2 21 36
3 7 12
2 * 2 * 3 = 12 is the HCF
168 = 120 * 1 + 48
120 = 48 * 2 + 24
48 = 24 * 2
24 is the HCF
430 _| 516 |_1
430
______
86 _| 430 |_ 5
430
____
0
86 _| 817 |_9
774
_____
43 _| 86 |_ 0
86
____
0
43 is the HCF
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