What is 308/584 Simplified? (Reduce 308/584 to Lowest Terms: 77/146)

Exact Answer

308/584 = 77/146

Simplified Fraction

77/146

Mixed Number

Proper (77/146)

Decimal Value

0.527397

Percentage

52.7397%

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Step-by-Step Solution: 308/584 = 77/146

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 308: 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
• Factors of 584: 1, 2, 4, 8, 73, 146, 292, 584

GCD(308, 584) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (308) and denominator (584) by 4.

308 ÷ 4/584 ÷ 4 = 77/146

Visual Representation

The diagram below illustrates Simplify 308/584 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`77/146`
Mixed Number Form	`77/146`
Decimal Form	`0.527397`
Percentage	`52.7397%`

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Frequently Asked Questions

What is 308/584 in simplest form?

308/584 simplified to lowest terms is 77/146.

What is the GCD (GCF) of 308 and 584?

The Greatest Common Divisor (GCD) of 308 and 584 is 4.

What are equivalent fractions to 308/584?

Equivalent fractions to 308/584 include 154/292, 231/438, and 308/584.