Simplify 300/1304 to Lowest Terms
300/1304 simplified to its lowest terms is 75/326 (or 0.230061 in decimal). See how to reduce 300/1304 using Greatest Common Divisor (GCD = 4).
Exact Answer
300/1304 = 75/326
Simplified Fraction
75/326
Mixed Number
Proper (75/326)
Decimal Value
0.230061
Percentage
23.0061%
Step-by-Step Solution: 300/1304 = 75/326
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 300:
• Factors of 1304:
• Factors of 300:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100• Factors of 1304:
1, 2, 4, 8, 163, 326, 652, 1304
GCD(300, 1304) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (300) and denominator (1304) by 4.
300 ÷ 4/1304 ÷ 4 = 75/326
Visual Representation
The diagram below illustrates Simplify 300/1304 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 75/326 |
| Mixed Number Form | 75/326 |
| Decimal Form | 0.230061 |
| Percentage | 23.0061% |
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Frequently Asked Questions
What is 300/1304 in simplest form?
300/1304 simplified to lowest terms is 75/326.
What is the GCD (GCF) of 300 and 1304?
The Greatest Common Divisor (GCD) of 300 and 1304 is 4.
What are equivalent fractions to 300/1304?
Equivalent fractions to 300/1304 include 150/652, 225/978, and 300/1304.