\[\frac{120}{360}\]

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Find the Greatest Common Factor (GCF) of

120,360

Method 1: By Listing Factors

List the factors of each number.

Factors of 120

: 1, 2, 3 ... 40, 60, 120

Factors of 360

: 1, 2, 3 ... 120, 180, 360

Find the largest number that is shared by all rows above. This is the GCF.

GCF =

120

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 120

: 2, 2, 2, 3, 5

Prime Factors of 360

: 2, 2, 2, 3, 3, 5

Find the intersection of these primes.

2,2,2,3,5

Multiply these numbers:

2\times 2\times 2\times 3\times 5=120

. This is the GCF.

GCF =

120

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120

Divide both the numerator and the denominator by the GCF.

\frac{120\div 120}{360\div 120}

Simplify.

\frac{1}{3}

Done

Decimal Form: 0.333333

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