Finding the GCF of the numerator and the denominator of a fraction and dividing them both by it will give you the simplest form of that fraction. Finding the LCM of unlike denominators and converting them to it will make it possible to add and subtract unlike fractions.
When those two numbers are the denominators of unlike fractions, finding the LCM (in this case, the LCD or least common denominator) and converting the unlike fractions to equivalent fractions with the same denominator will allow you to add and subtract them.
The GCF helps in simplifying fractions and the LCM helps in adding and subtracting them.
When adding unlike fractions, it is necessary to find a common denominator. The process of doing that is the same as finding an LCM.
When doing fractions it is the greatest common factor (GCF) and the least common multiple (LCM). You want the GCF when you are reducing fractions to their simplest form. When changing the denominators to a common one, you want the LCM.
Least common multiple is needed to find the least common denominator when adding or subtracting fractions with different denominators Greatest common factor is needed when reducing fractions to their lowest terms
The greatest common factor is used to reduce fractions.
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.
When doing fractions it is the greatest common factor (GCF) and the least common multiple (LCM). You want the GCF when you are reducing fractions to their simplest form. When changing the denominators to a common one, you want the LCM.
Least common multiple is needed to find the least common denominator when adding or subtracting fractions with different denominators Greatest common factor is needed when reducing fractions to their lowest terms
The greatest common factor is used to reduce fractions.
When you are simplifying fractions or adding and subtracting unlike fractions.
Finding the greatest common factor helps when you are reducing fractions.
Knowing the least common multiple of the denominators will help you find a common denominator when adding and subtracting unlike fractions. Knowing the greatest common factor of the numerator and the denominator will help you reduce the fraction if possible.
When simplifying fractions.
To reduce fractions
Simplification using the greatest common factor does.Simplification using the greatest common factor does.Simplification using the greatest common factor does.Simplification using the greatest common factor does.
The greatest common factor is 2 and the least common multiple is also 2.
The greatest common multiple of any set of integers is infinite.
The greatest common multiple is infinitely large, the least common multiple is 1365, the greatest common factor is 1.