Maths Tutorials for finding Out the Greatest Common Factor

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What do we mean by the Greatest Common Factor Calculator(GCF)? GCF is a result of two numbers that are factored into smaller numbers and the number which is greater in both these factored numbers is known as GCF. Well, we know it can be a bit confusing for first time readers. We will provide you with few examples to make it simpler and easy to understand.

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Maths Tutorials for finding Out the Greatest Common Factor

  1. 1. Maths Tutorials for finding Out the Greatest Common FactorWhat do we mean by the Greatest Common Factor Calculator(GCF)? GCF is a result of two numbers that arefactored into smaller numbers and the number which is greater in both these factored numbers is known asGCF. Well, we know it can be a bit confusing for first time readers. We will provide you with few examplesto make it simpler and easy to understand.Let us find out the Greatest Common Factor for number six and eight. First of all for number six, we haveto find out the numbers which can be divided by six or in other words the factor which can be multiplied withanother number to get the solution as six. The common numbers are (one x six = six) and (two x three = six).Similarly, for number eight, the common numbers are (one x eight = eight) and (two x four = eight).Now to find out the Greatest Common Factor in both these numbers, we have to first look at all the factorsfor six and eight like as below:For six – the factors are – 1, 2, 3 and 6 whileFor eight – the factors are – 1, 2, 4 and 8From the above numbers, you can realize that to get six as an answer, we can use 1, 2, 3 and 6 usingmultiplication and to get eight as an answer, you can use 1, 2, 4 and 8 in a similar format.You can see that the factors for both the numbers six and eight, there are two numbers, which are verycommon in both that is one and two. Both these numbers can be easily multiplied to get an answer which canbe either six or eight. So, now the Greatest Common Factor is the number which is the greater between thetwo. So in the above example, the Greatest Common Factor will be the number two, since the number one ishaving a lower denomination. We do hope that you got a basic idea about what we mean by the GreatestCommon Factor.Let us take another example to find out the Greatest Common Factor between two numbers. We will take sayten and fifteen. Now to find out the Greatest Common Factor between these two numbers, we will have tofind out the common number for each. For ten, the common numbers are (one x ten = ten), (two x five = ten)and for fifteen, the common numbers are (one x fifteen = fifteen), (three x five = fifteen). Now, let us checkout the factors for ten and fifteen to get the Greatest Common Factor.For ten – the factors are – 1, 2, 5 and 10 whileFor fifteen – the factors are – 1, 3, 5 and 15The common numbers in the above figure are one and five. Now, since five is bigger than one, the GreatestCommon Factor becomes five. OK, now we know, you have already mastered the art of finding out theGreatest Common Factor in any given figures and how to find it out.We do hope that the above article has helped you in finding out how to achieve the Greatest Common Factorfrom numbers.

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