How to Calculate HCF and LCM of Fractions?

To calculate the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of fractions, find the HCF and LCM of their numerators and denominators separately.

To calculate the Highest Common Factor (HCF) of fractions, find the HCF of their numerators and denominators individually.

For example:

With fractions 3/6​ and 5/15​, the HCF of the numerators (3 and 5) is 1, and the HCF of the denominators (6 and 15) is 3. Thus, the HCF of the fractions is 1/3​.

To calculate the Lowest Common Multiple (LCM) of fractions, determine the LCM of their numerators and denominators separately.

Using the same example:

The LCM of the numerators (3 and 5) is 15, and the LCM of the denominators (6 and 15) is 30. Consequently, the LCM of the fractions is 15/30​, which simplifies to 1/2.

Overall, the process involves applying the HCF and LCM operations to the components of the fractions and then constructing the new fraction using the results.