\[\frac{45}{30}\]

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Examples

Find the Greatest Common Factor (GCF) of

45,30

Method 1: By Listing Factors

List the factors of each number.

Factors of 45

: 1, 3, 5, 9, 15, 45

Factors of 30

: 1, 2, 3, 5, 6, 10, 15, 30

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

GCF =

15

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 45

: 3, 3, 5

Prime Factors of 30

: 2, 3, 5

Find the intersection of these primes.

3,5

Multiply these numbers:

3\times 5=15

. This is the GCF.

GCF =

15

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15

Divide both the numerator and the denominator by the GCF.

\frac{45\div 15}{30\div 15}

Simplify.

\frac{3}{2}

Done

Decimal Form: 1.5

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