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Question Number 104280 by Anindita last updated on 20/Jul/20

$$\mathbf{What}\mathbf{is}\mathbf{the}\mathbf{GCD}\mathbf{of}$$$$\frac{1}{2},\frac{3}{4},\frac{16}{30}?$$

Commented by 1549442205PVT last updated on 20/Jul/20

$$\mathrm{Can}\mathrm{you}\mathrm{tell}\mathrm{me}\mathrm{what}\mathrm{is}\mathrm{brief}$$$${\mathrm{word}}^{″}{\mathrm{GCM}}^{″}?$$

Commented by bramlex last updated on 20/Jul/20

$$greatestcommonmultiple?$$

Commented by Anindita last updated on 20/Jul/20

$$\mathrm{Yes}$$

Commented by Rasheed.Sindhi last updated on 20/Jul/20

$$Perhapsyoumean\mathrm{LCM}$$$$\left(leastcommonmultiple\right)or$$$$\mathrm{GCD}(greatestcommon$$$$divisor).$$

Commented by 1549442205PVT last updated on 21/Jul/20

$$\mathrm{But}\mathrm{LCM}\mathrm{and}\mathrm{GCD}\mathrm{only}\mathrm{say}\mathrm{in}$$$$\mathrm{integers}?\mathrm{Here}\mathrm{all}\mathrm{are}\mathrm{fractions}?$$

Answered by Rasheed.Sindhi last updated on 24/Jul/20

$$LCMofdenominators=60$$$$\frac{1}{2}=\frac{30}{60},\frac{3}{4}=\frac{45}{60},\frac{16}{30}=\frac{32}{60}$$$$NowGCDofnumerators$$$$30,45,32=1$$$$So\mathrm{GCD}ofthegivenfractions$$$$is\frac{1}{60}$$$$(Wehave30sixtieths,45sixtieths$$$$\mathrm{\&}32sixtieths.Youcanseethat$$$$1sixtieth\left(1/60\right)isacommon$$$$divisorand{it}^{\prime }salsogreatest$$$$commondivisor,b/cthereisno$$$$commondivisorgreaterthanthis.)$$

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