GCF doesn't apply to fractions, only to whole numbers. When those numbers are the numerator and denominator of a fraction, the GCF can be used to reduce it to its simplest form.
Knowing the LCM will help when adding or subtracting unlike fractions. By finding the LCM of the denominators, (called the lowest common denominator) you can convert unlike to like fractions and proceed with the adding or subtracting. Knowing the GCF helps reduce a fraction. By finding the GCF of the numerator and the denominator and dividing both of them by it, you can reduce a fraction to its lowest terms (simplest form). If the GCF is 1, the fraction is in its simplest form. You can successfully multiply fractions without knowing the GCF or LCM.
The question presumes that math classes are not part of the real world, which is debatable. The GCF can be used to simplify fractions. Carpenters and chefs use fractions in practical, non-academic settings.
Reducing equivalent fractions to their simplest form.
I am not entirely sure what you mean, but if you need to add, subtract, or compare two fractions, they need to have the same denominator.
To simplify a fraction, divide the numerator and the denominator by their GCF. Example: 30/42 The GCF of 30 and 42 is 6. 6 into 30 is 5 6 into 42 is 7 30/42 = 5/7
Finding the GCF will help you to simplify fractions.
The GCF is 5.
The GCF will help you to simplify fractions.
To simplify fractions, you need to divide the numerator and denominator by their GCF. Otherwise you'll end up with fractions with unnecessarily large numbers.
Finding the LCM will make adding and subtracting fractions easier.
Use the GCF to reduce fractions. Use the LCM to add and subtract unlike fractions. Carpenters work with fractions a lot.
Simplifying fractions
Finding the LCM will help you add and subtract fractions. Finding the GCF will help you reduce fractions.
The GCF refers to integers, not fractions. You can find the GCF of the numerator and denominator of a fraction (if they are integers), but you will not be able to find the GCF of two fractions.
The GCF refers to integers, not fractions.
When reducing fractions to their lowest terms knowing their gcf is useful
Simplifying fractions and finding the GCF is easy. All you have to do is put the fraction into simplest form and then put in a whole number.