HCF and LCM of Decimal Fractions and Examples
In this class, We discuss HCF and LCM of Decimal Fractions and Examples.
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Example 1:
HCF and LCM of 0.63, 1.05, 2.1
0.63 has two digits after the decimal.
1.05 has two digits after the decimal.
2.1 has one digit after the decimal.
By adding zeros, convert the numbers with an equal number of digits after the decimal point.
The numbers are 0.63, 1.05, 2.10
Now, remove the decimal point.
The numbers are 63, 105, and 210.
HCF(63, 105, 210) = 21
LCM(63, 105, 210) = 630
HCF(0.63, 1.05, 2.1) = .21
LCM(0.63, 1.05, 2.1) = 6.30.
Example 2:
HCF of 51.3, 113.4, and 121.5
All numbers have one digit after the decimal.
remove decimal points
the numbers are 513, 1134, 1215
HCF(513, 1134, 1215) = 27
HCF(51.3, 113.4, 121.5) = 2.7
51.3/2.7 = 19
HCF is dividing the number exactly.
Similarly, the remaining numbers are divided exactly.
Example 3:
Arrange the fractions in ascending order.
17/18, 31/36, 43/45, 59/60
One way:
Divide and arrange them in ascending order.
The division is time taking process.
Second Way
Using LCM, we can find the ascending quickly.
LCM of denominators should be identified.
LCM(18, 36, 45, 60) = 180
Now convert the given numbers to get the denominator a 180.
17/18 = (17*10)/(18*10 = 170/180
31/36 = (31*5)/(36*5) = 155/180
43/45 = (43*4)/(45*4) = 172/180
59/60 = (59*3)/(60*3) = 177/180
Now arrange the numbers in the ascending order of numerators.
155/180 < 170/180 < 172/180 < 177/180