Fraction & Factors calculator

Common factors calculator

Input Number	Factors


Common Factors
Greatest Common Factor
Least Common Multiple

Prime factors
Prime factors

Input Array (each number divided by comma)

Smallest Common Factor

Least Common Multiple

Fraction Calculator

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NOTE: If the numerator was entered without the denominator it is treated as integer. If the numerator was not entered and the denominator entered than calculation not performed.

Fraction and Decimal Calculator
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	Definition	Example
Addition and subtraction of two fractions
Multiplication of two fractions
Division of two fractions
Proper fraction	numerator < denominator
Improper fraction	numerator > denominator
Mixed fraction	Integer and fraction
Mixed to improper fraction
Improper to mixed fraction

For an easy way to find the least common multiple of an array e.g. 8, 6, 42, 16, 32 follow the next steps:
Divide each term of the array (gray column) by 2 see green row at top of the table, if the array item is not divisible by 2 write the number as is. Continue the process until all numbers that can be divided by 2 are 1, then start dividing by 3 and then by the next prime number. At the end multiply all the divisors at the top of the table (green row) to get the least common multiple.

LCM = 2 • 2 • 2 • 2 • 2 • 3 • 7 = 672

array	Divide by: 2	Divide by: 2	Divide by: 2	Divide by: 2	Divide by: 2	Divide by: 3	Divide by: 7
8	4	2	1	1	1	1	1
6	3	3	3	3	3	1	1
42	21	21	21	21	21	7	1
16	8	4	2	1	1	1	1
32	16	8	4	2	1	1	1

Example 1: find the LCM of the array 14, 5, 25.

Solution: LCM = 2, • 5, • 5, • 7 = 350

array	Divide by: 2	Divide by: 5	Divide by: 5	Divide by: 7
14	7	7	7	1
5	5	1	1	1
25	25	5	1	1

Example 2: find the LCM of the array
72, 12, 3 21, 112.

Solution:
LCM = 2,• 2,• 2,• 2,• 3,• 3,• 7 = 1008

array	Divide by: 2	Divide by: 2	Divide by: 2	Divide by: 2	Divide by: 3	Divide by: 3	Divide by: 7
72	36	18	9	9	3	1	1
12	6	3	3	3	1	1	1
3	3	3	3	3	1	1	1
21	21	21	21	21	7	7	1
112	56	28	14	7	7	7	1