Question

1/2, 2/3, 3/4, 4/5 ka HCM​

Answer 1

Answer:

H.C.F. of above fraction is \frac{1}{60}

60

1

Step-by-step explanation:

Since we have given that

\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{4}{5}

2

1

,

3

2

,

4

3

,

5

4

We need to find the highest common factor of the above fractions.

As we know the formula for it:

\begin{gathered}\frac{\text{H.C.F. of numerator}}{\text{L.C.M. of denominator}}\\\\=\frac{H.C.F.\ of\ 1,2,3,4}{L.C.M.\ of\ 2,3,4,5}\\\\=\frac{1}{60}\end{gathered}

L.C.M. of denominator

H.C.F. of numerator

=

L.C.M. of 2,3,4,5

H.C.F. of 1,2,3,4

=

60

1

Hence, H.C.F. of above fraction is \frac{1}{60}

60

1

Hope this will help u

Answer 2

Step-by-step explanation:

$hcm \: of \: \frac{1}{2} , \frac{2}{3} , \frac{3}{4} , \frac{4}{5} = \frac{hcf \: of \: numerators}{lcm \: of \: denominators} \\ \: hcf \: of \: 1, \:2, \: 3, \: 4 = 1 \: \\ (because \: there \: is \: no \: common \: factor \\ \:of \: 1, \:2, \: 3, \: 4 \: other \: than \: 1) \\ \\ lcm \: of \: 2, \:3, \: 4, \: 5 \: = 60 \\ hence \\ hcm \: of \: \frac{1}{2} , \frac{2}{3} , \frac{3}{4} , \frac{4}{5} = \frac{1}{60}$

hope it helps you

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