The Greatest Common Divisorof 1.08, 0.36 and 0.9 is:a)0.03b)0.9c)0.18d...
Given numbers are 1.08 , 0.36 and 0.90
G.C.D. i.e. H.C.F of 108, 36 and 90 is 18
Therefore, H.C.F of given numbers = 0.18
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The Greatest Common Divisorof 1.08, 0.36 and 0.9 is:a)0.03b)0.9c)0.18d...
Calculation of Greatest Common Divisor (GCD) of 1.08, 0.36, and 0.9:
To find the Greatest Common Divisor (GCD) of 1.08, 0.36, and 0.9, we need to first express these numbers as fractions in their simplest form.
Expressing the numbers as fractions:
- 1.08 = 108/100
- 0.36 = 36/100
- 0.9 = 9/10
Finding the GCD:
Now, we need to find the GCD of the numerators (108, 36, 9) and the denominators (100, 100, 10) separately.
GCD of Numerators:
The GCD of the numerators 108, 36, and 9 is 9.
GCD of Denominators:
The GCD of the denominators 100, 100, and 10 is 10.
Final GCD:
To find the final GCD of the fractions 1.08, 0.36, and 0.9, we divide the GCD of numerators by the GCD of denominators.
GCD = GCD(108, 36, 9)/GCD(100, 100, 10)
GCD = 9/10
GCD = 0.9
Therefore, the Greatest Common Divisor of 1.08, 0.36, and 0.9 is 0.18, which is option 'C'.
The Greatest Common Divisorof 1.08, 0.36 and 0.9 is:a)0.03b)0.9c)0.18d...
The answer is (a)0.03 because the LCM of 108,36,9=108
the factor of 108 is 2to the power 2 & 3to the power 3
so the HCF is 3