Question

find the HCF and LCM of 0.63 1.05 and 2.1

Answer 1

hyy friend here is ur answer
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To solve this question quickly, first remove decimal
by multiplying each term with 100,
Then terms become 210, 105, 63
Then HCF of above terms is 21,
So Answer is 0.21
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Answer 2

Answer:

HCF of 0.63, 1.05 and 2.1  = 0.21

LCM of 0.63, 1.05 and 2.1 = 31.5

Step-by-step explanation:

To find,

HCF and LCM of 0.63, 1.05 and 2.1

Recall the formulas,

HCF of fractions = $\frac{HCF \ of \ numerators}{LCM\ of denominators}$

LCM of fractions = $\frac{LCM \ of \ numerators}{HCF\ of denominators}$

Solution:

Given numbers are 0.63, 1.05 and 2.1

These can be represented as $\frac{63}{100} , \frac{105}{100} , \frac{21}{10}$

The numerators are 63,105,21

63 = 3 × 3×7

105 = 3×5×7

21 = 3×7

LCM of the numerators = LCM of 63, 105 and 21 = 3×3×7×5 = 315

HCF of the numerators = HCF of 63, 105 and 21 = 3×7 = 21

The denominators are 100,100,10

LCM of denominators  = LCM of 100,100,10 = 100

HCF of the denominators = HCF of 100,100,10 = 10

HCF of 0.63, 1.05 and 2.1 = HCF of  $\frac{63}{100} , \frac{105}{100} , \frac{21}{10}$ = $\frac{HCF \ of \ numerators}{LCM\ of denominators}$ = $\frac{21}{100}$ = 0.21

∴ HCF of 0.63, 1.05 and 2.1  = 0.21

LCM of 0.63, 1.05 and 2.1 = LCM of  $\frac{63}{100} , \frac{105}{100} , \frac{21}{10}$ = $\frac{LCM \ of \ numerators}{HCF\ of denominators}$ = $\frac{315}{10}$ = 31.5

∴ LCM of 0.63, 1.05 and 2.1 = 31.5

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