Factors of 11 and 14

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Factors of 11 =1, 11 Factors of 14 =1, 2, 7, 14 The real common factors of 11,14 is 1 LCM of 11 and 14 Multiples of 11= 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, Multiples of 14= 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, Least common multiple (LCM) of 11 and 14= 154 HCF of 11 and 14 Highest common factor (HCF) is calculated using real common factors above HCF of 11 and 14 = 1 GCF of 11 and 14 Greatest common factor (GCF) is the same as Highest common factor (HCF) GCF of 11 and 14 = 1 LCD of 11 and 14 lowest common Denominator (LCD) is the same as Least common multiple (LCM) lowest common Denominator (LCD) of 11 and 14= 154

Solution

Converting factors of 11,14

Factors are numbers that can divide without remainder.

Factors of 11

11/1 = 11         gives remainder 0 and so are divisible by 1
11/11 = 1         gives remainder 0 and so are divisible by 11

Factors of 14

14/1 = 14         gives remainder 0 and so are divisible by 1
14/2 = 7         gives remainder 0 and so are divisible by 2
14/7 = 2         gives remainder 0 and so are divisible by 7
14/14 = 1         gives remainder 0 and so are divisible by 14

We get factors of 11,14 numbers by finding numbers that can divide 11,14 without remainder or alternatively numbers that can multiply together to equal the target number being converted.

In considering numbers than can divide 11,14 without remainders. So we start with 1, then check 2,3,4,5,6,7,8,9, etc and 11,14

Getting factors is done by dividing 11,14 with numbers lower to it in value to find the one that will not leave remainder. Numbers that divide without remainders are the factors.

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