The GCD is used for a variety of applications in number theory, particularly in modular arithmetic and thus encryption algorithms such as RSA. It is also used for simpler applications, such as simplifying fractions.

How is greatest common factor used in real life?

We use greatest common factors all the time with fractions, and as fractions are used a lot in everyday life, this makes GCF very useful! By finding the GCF of the denominator and numerator, you can then successfully simplify a fraction or ratio. E.g. We can simplify 3045 by knowing that its HCF is 15 .

Where do we use HCF in real life?

Optimization of resource: You can use HCF to estimate the minimum number of square towels that can be cut from a ream of cloth of a certain length and width without wasting any cloth. Arrange things in rows and groups: To store things in a neat and orderly manner, we can use the concept of HCF.