What is 1508/2304 Simplified? (Reduce 1508/2304 to Lowest Terms: 377/576)

Exact Answer

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Problem: Simplify 1508/2304 to Lowest Terms
Formula / Expression: 1508/2304 = 377/576
Final Answer: 377/576
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1508: 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508
• Factors of 2304: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
Working: GCD(1508, 2304) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1508) and denominator (2304) by 4.
Working: 1508 ÷ 4/2304 ÷ 4 = 377/576

Key Values:
- Simplified Fraction: 377/576
- Mixed Number Form: 377/576
- Decimal Value: 0.654514
- Percentage: 65.4514%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1508-2304/
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1508/2304 = 377/576

Simplified Fraction

377/576

Mixed Number

Proper (377/576)

Decimal Value

0.654514

Percentage

65.4514%

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Step-by-Step Solution: 1508/2304 = 377/576

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1508: 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508
• Factors of 2304: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72

GCD(1508, 2304) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1508) and denominator (2304) by 4.

1508 ÷ 4/2304 ÷ 4 = 377/576

Visual Representation

The diagram below illustrates Simplify 1508/2304 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`377/576`
Mixed Number Form	`377/576`
Decimal Form	`0.654514`
Percentage	`65.4514%`

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Frequently Asked Questions

What is 1508/2304 in simplest form?

1508/2304 simplified to lowest terms is 377/576.

What is the GCD (GCF) of 1508 and 2304?

The Greatest Common Divisor (GCD) of 1508 and 2304 is 4.

What are equivalent fractions to 1508/2304?

Equivalent fractions to 1508/2304 include 754/1152, 1131/1728, and 1508/2304.