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You are watching: Find the greatest common factor of 30 and 105. On this web page we will specify the GCF the 30 and also 105, teach girlfriend the different ways the calculating the GCF the 30 and 105, and show girlfriend what you deserve to use the GCF the 30 and also 105 for.What is the GCF the 30 and 105?GCF is the abbreviation for Greatest common Factor. Therefore, the GCF of 30 and 105 is the same as the Greatest common Factor the 30 and also 105. The GCF that 30 and also 105 is the biggest positive integer through which both 30 and also 105 deserve to be divided.Furthermore, both 30 and also 105 have a set of factors and also the GCF is the greatest aspect that 30 and also 105 have in common.Compare components to gain GCF the 30 and 105Per definition above, to discover the GCF that 30 and also 105, you have the right to compare the components of 30 with thefactors that 105 to watch which aspect is the greatest. When we did that, us foundthat the Greatest common Factor (GCF) that 30 and also 105 is 15.Use LCM to obtain GCF the 30 and 105The Least usual Multiple (LCM) of 30 and 105 is 210. Girlfriend can find the GCF of 30 and 105 by dividing the product the 30 and also 105 by the LCM the 30 and also 105.Here is the formula and also math:
 Product the 30 and also 105 LCM the 30 and 105
=GCF
 30 × 105 210
=15
Use computer system spreadsheet to get GCF of 30 and also 105If you have actually a computer, girlfriend can likewise use a spreadsheet in Excel or numbers to calculation the GCF the 30 and 105. You want to type=gcf(30, 105) right into a cell to obtain the answer.gcf(30, 105) = 15Use the GCF of 30 and also 105 to leveling a fractionThe GCF the 30 and 105 deserve to be supplied for plenty of things. Friend can, for example, leveling a portion by dividing the numerator and also denominator bythe GCF prefer this:
 30 ÷ 15 105 ÷ 15
=
 2 7
Use GCF of 30 and also 105 to leveling a ratioSimilarly, you have the right to use the GCF the 30 and 105 to leveling a proportion by separating each part of the ratio bythe GCF favor this:= 30 : 105= (30 ÷ 15) : (105 ÷ 15)= 2 : 7Use the GCF of 30 and 105 to find the LCM of 30 and also 105Since using the Least typical Multiple (LCM) is one of the methods to find the GCF of 30 and 105, you have the right to use the GCF the 30 and also 105 to uncover the LCM that 30 and 105.The LCM the 30 and also 105 can, because that example, be used to add and subtract fractions through denominators that 30 and also 105.The LCM of 30 and also 105 is the product the 30 and also 105 split by the GCF that 30 and also 105.

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Here is the math:
 Product of 30 and also 105 GCF the 30 and also 105
=LCM
 30 × 105 15
=210
That is all there is come it! we hope this page accomplished its score of defining the GCF the 30 and 105 by mirroring you just how to calculate the GCF, instances of the uses, and how it relates come LCM. GCF CalculatorUse the GCF Calculator to solve a problem comparable to the one explained on this page.