\[\frac{42}{56}\]

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Examples

Find the Greatest Common Factor (GCF) of

42,56

Method 1: By Listing Factors

List the factors of each number.

Factors of 42

: 1, 2, 3, 6, 7, 14, 21, 42

Factors of 56

: 1, 2, 4, 7, 8, 14, 28, 56

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

GCF =

14

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 42

: 2, 3, 7

Prime Factors of 56

: 2, 2, 2, 7

Find the intersection of these primes.

2,7

Multiply these numbers:

2\times 7=14

. This is the GCF.

GCF =

14

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14

Divide both the numerator and the denominator by the GCF.

\frac{42\div 14}{56\div 14}

Simplify.

\frac{3}{4}

Done

Decimal Form: 0.75

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