Math, asked by palakshah17, 1 year ago

hcf of 3/16,5/12,7/18

Answers

Answered by AKHIL52658
4
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Answered by lublana
4

Answer:

The HCF of \frac{3}{16},\frac{5}{12},\frac{7}{18} is \frac{1}{2}.

Step-by-step explanation:

We are given three rational numbers

\frac{3}{16},\frac{5}{12},\frac{7}{18}

We have to find the HCF means highest common factor

To find HCF then we factorize each given rational number

First we find the factor of rational number \frac{3}{16}

\frac{3}{16}=3\times \frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}

Then find the factors of second rational number \frac{5}{12}

\frac{5}{12}=5\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{3}

Now , we are finding the factors of third rational number\frac{7}{18}

\frac{7}{18}=7\times\frac{1}{2}\times\frac{1}{3}\times\frac{1}{3}

We can see that the highest common factor of three given rational numbers is \frac{1}{2}

HCF=\frac{1}{2}

Hence, the Highest common factor of given three number is \frac{1}{2}.

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