Simplify 72/306 to Lowest Terms
72/306 simplified to its lowest terms is 4/17 (or 0.235294 in decimal). See how to reduce 72/306 using Greatest Common Divisor (GCD = 18).
Exact Answer
72/306 = 4/17
Simplified Fraction
4/17
Mixed Number
Proper (4/17)
Decimal Value
0.235294
Percentage
23.5294%
Step-by-Step Solution: 72/306 = 4/17
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 306:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 306:
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
GCD(72, 306) = 18
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (72) and denominator (306) by 18.
72 ÷ 18/306 ÷ 18 = 4/17
Visual Representation
The diagram below illustrates Simplify 72/306 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/17 |
| Mixed Number Form | 4/17 |
| Decimal Form | 0.235294 |
| Percentage | 23.5294% |
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Frequently Asked Questions
What is 72/306 in simplest form?
72/306 simplified to lowest terms is 4/17.
What is the GCD (GCF) of 72 and 306?
The Greatest Common Divisor (GCD) of 72 and 306 is 18.
What are equivalent fractions to 72/306?
Equivalent fractions to 72/306 include 8/34, 12/51, and 16/68.