Common factors go into the numbers, the numbers go into common multiples.
On the off chance you are asking for equivalent fractions, they are 2/8 and 3/12.
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Finding the GCF will help you when you are trying to reduce fractions.
One common application of greatest common factors is to simplify fractions. Note that you don't necessarily need the GREATEST common factor; you can simplify by dividing both numbers by any common factor, and then continue looking for additional factors.
You may have answered your own question. Equivalent fractions have common factors. If they don't have common factors, they aren't equivalent.
4/7, 8/14
There are common fractions, improper fractions and equivalent fractions
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Fractions don't have common factors. The common factors of 4 and 6 are 1 and 2.
You first convert them to equivalent fractions with a common denominator. Or you convert them to decimal fractions.
When a fraction is simplified, it is made into an equivalent fraction with no common divisor between the numerator and denominator.
You look for a common denominator; convert the fractions to equivalent fractions with the denominator you found; then you do the addition itself.
Convert unlike fractions to equivalent fractions with common denominators by finding the LCM of the denominators.
Multiply them by each other.
Common factors go into the numbers, the numbers go into common multiples.
They are useful in reducing fractions and to simplify radicals. They are useful in reducing fractions and to simplify radicals.