Question

1. By applying the Fundamental Theorem of Arithmetic, find the HCF of 8624 and 21658.
(a) 95
(b) 98
(c) 99
(d) 101
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Answer 1

Answer:

98

Step-by-step explanation:

it is common sense that both numbers can be divided by 2 . so the hcf must be a even number . and in options only 98 is even .

Answer 2

HCF of 8624 and 21658 is 98.

Step-by-step explanation:

HCF of 8624 and 21658 by applying the Fundamental Theorem of Arithmetic.

 2 | 8624                                            2  |  21658  

 2 |  4312                                            7  |   10829  

  2 |  2156                                            7  |    1547  

  2 |  1078                                            13 |     221  

  7 |   539                                            17 |      17    

  7 |    77                                                  |       1      

 11 |    11    

     |    1      

 

Factors of 8624  = 2⁴ × 7² × 11

Factors of 21658  = 2 × 7² × 13 × 17

Common Factors = 2 × 7²

HCF = 2 × 7 × 7 = 98

Option (b) 98 is the HCF of 8624 and 21658.

Learn more about HCF and LCM : https://brainly.in/question/1240475