Simplify 1304/2004 to Lowest Terms
1304/2004 simplified to its lowest terms is 326/501 (or 0.650699 in decimal). See how to reduce 1304/2004 using Greatest Common Divisor (GCD = 4).
Exact Answer
1304/2004 = 326/501
Simplified Fraction
326/501
Mixed Number
Proper (326/501)
Decimal Value
0.650699
Percentage
65.0699%
Step-by-Step Solution: 1304/2004 = 326/501
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1304:
• Factors of 2004:
• Factors of 1304:
1, 2, 4, 8, 163, 326, 652, 1304• Factors of 2004:
1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004
GCD(1304, 2004) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1304) and denominator (2004) by 4.
1304 ÷ 4/2004 ÷ 4 = 326/501
Visual Representation
The diagram below illustrates Simplify 1304/2004 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 326/501 |
| Mixed Number Form | 326/501 |
| Decimal Form | 0.650699 |
| Percentage | 65.0699% |
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Frequently Asked Questions
What is 1304/2004 in simplest form?
1304/2004 simplified to lowest terms is 326/501.
What is the GCD (GCF) of 1304 and 2004?
The Greatest Common Divisor (GCD) of 1304 and 2004 is 4.
What are equivalent fractions to 1304/2004?
Equivalent fractions to 1304/2004 include 652/1002, 978/1503, and 1304/2004.