What is 1508/5208 Simplified? (Reduce 1508/5208 to Lowest Terms: 377/1302)

Exact Answer

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Problem: Simplify 1508/5208 to Lowest Terms
Formula / Expression: 1508/5208 = 377/1302
Final Answer: 377/1302
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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 5208: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62
Working: GCD(1508, 5208) = 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 (5208) by 4.
Working: 1508 ÷ 4/5208 ÷ 4 = 377/1302

Key Values:
- Simplified Fraction: 377/1302
- Mixed Number Form: 377/1302
- Decimal Value: 0.289555
- Percentage: 28.9555%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1508-5208/
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1508/5208 = 377/1302

Simplified Fraction

377/1302

Mixed Number

Proper (377/1302)

Decimal Value

0.289555

Percentage

28.9555%

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Step-by-Step Solution: 1508/5208 = 377/1302

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 5208: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62

GCD(1508, 5208) = 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 (5208) by 4.

1508 ÷ 4/5208 ÷ 4 = 377/1302

Visual Representation

The diagram below illustrates Simplify 1508/5208 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`377/1302`
Mixed Number Form	`377/1302`
Decimal Form	`0.289555`
Percentage	`28.9555%`

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Frequently Asked Questions

What is 1508/5208 in simplest form?

1508/5208 simplified to lowest terms is 377/1302.

What is the GCD (GCF) of 1508 and 5208?

The Greatest Common Divisor (GCD) of 1508 and 5208 is 4.

What are equivalent fractions to 1508/5208?

Equivalent fractions to 1508/5208 include 754/2604, 1131/3906, and 1508/5208.