Simplify 1304/2002 to Lowest Terms
1304/2002 simplified to its lowest terms is 652/1001 (or 0.651349 in decimal). See how to reduce 1304/2002 using Greatest Common Divisor (GCD = 2).
Exact Answer
1304/2002 = 652/1001
Simplified Fraction
652/1001
Mixed Number
Proper (652/1001)
Decimal Value
0.651349
Percentage
65.1349%
Step-by-Step Solution: 1304/2002 = 652/1001
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1304:
• Factors of 2002:
• Factors of 1304:
1, 2, 4, 8, 163, 326, 652, 1304• Factors of 2002:
1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002
GCD(1304, 2002) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1304) and denominator (2002) by 2.
1304 ÷ 2/2002 ÷ 2 = 652/1001
Visual Representation
The diagram below illustrates Simplify 1304/2002 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 652/1001 |
| Mixed Number Form | 652/1001 |
| Decimal Form | 0.651349 |
| Percentage | 65.1349% |
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Frequently Asked Questions
What is 1304/2002 in simplest form?
1304/2002 simplified to lowest terms is 652/1001.
What is the GCD (GCF) of 1304 and 2002?
The Greatest Common Divisor (GCD) of 1304 and 2002 is 2.
What are equivalent fractions to 1304/2002?
Equivalent fractions to 1304/2002 include 1304/2002, 1956/3003, and 2608/4004.