pradhyumnatimilsina3
pradhyumnatimilsina3 pradhyumnatimilsina3
  • 21-06-2021
  • Mathematics
contestada

find the greatest number in which 60,90 and 120 are exactly divisible​

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sreedevi102
sreedevi102 sreedevi102
  • 21-06-2021

Answer:

30

Step-by-step explanation:

To find the greatest number divisible : find the GCF

[tex]60 = 2 \times 2 \times 3 \times 5 = 2^2 \times 3^1 \times 5^1\\\\90 = 2 \times 3 \times 3 \times 5 = 2^1 \times 3^2 \times 5\\\\120 = 2 \times 2 \times 2 \times 3 \times 5 = 2^3 \times 3^1 \times 5^1[/tex]

[tex]Therefore \ , GCF = 2 \times 3 \times 5 = \ 30[/tex]

Therefore greatest number in which 60, 90 , 120 are  divisible = 30

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