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Simplifying 30/42

How to reduce 30/42 to its simplest form

To simplify 30/42 we have to divide both numerator (30) and denominator (42) by their greatest common factor (GCF). In other words, writing a fraction in its simplest form means that both numerator and denominator can no longer be divided by the same whole number other than 1.

Result simplifying 30/42

30
42
=
5
7
Greatest Common Factor (GCF): 6

Show steps

Simplifying 30/42 step by step

30
42
1
Find the greatest common factor of 30 and 42
To simplify a fraction, look for the greatest common factor of the numerator and the denominator. The greatest common divisor of 30 and the 42 is 6. We therefore divide the numerator and denominator by 6.
30 / 6
42 / 6
=
5
7

Simplify fractions

If a fraction is not yet in its simplest form, you can rewrite (reduce) it into a fraction where numerator and denominator are as small as possible. Try our simplified fraction calculator to simplify your fractions and find the greatest common factor (GCF).

Simplify fraction calculator

A fraction is irreducible (in its simplest form) when the numerator and denominator have no common factors other than 1. In that case the greatest common factor is 1.