Simplify 1304/3024 to Lowest Terms
1304/3024 simplified to its lowest terms is 163/378 (or 0.431217 in decimal). See how to reduce 1304/3024 using Greatest Common Divisor (GCD = 8).
Exact Answer
1304/3024 = 163/378
Simplified Fraction
163/378
Mixed Number
Proper (163/378)
Decimal Value
0.431217
Percentage
43.1217%
Step-by-Step Solution: 1304/3024 = 163/378
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1304:
• Factors of 3024:
• Factors of 1304:
1, 2, 4, 8, 163, 326, 652, 1304• Factors of 3024:
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28
GCD(1304, 3024) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1304) and denominator (3024) by 8.
1304 ÷ 8/3024 ÷ 8 = 163/378
Visual Representation
The diagram below illustrates Simplify 1304/3024 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 163/378 |
| Mixed Number Form | 163/378 |
| Decimal Form | 0.431217 |
| Percentage | 43.1217% |
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Frequently Asked Questions
What is 1304/3024 in simplest form?
1304/3024 simplified to lowest terms is 163/378.
What is the GCD (GCF) of 1304 and 3024?
The Greatest Common Divisor (GCD) of 1304 and 3024 is 8.
What are equivalent fractions to 1304/3024?
Equivalent fractions to 1304/3024 include 326/756, 489/1134, and 652/1512.