What is 1508/3344 Simplified? (Reduce 1508/3344 to Lowest Terms: 377/836)

Exact Answer

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Problem: Simplify 1508/3344 to Lowest Terms
Formula / Expression: 1508/3344 = 377/836
Final Answer: 377/836
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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 3344: 1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 152, 176, 209, 304
Working: GCD(1508, 3344) = 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 (3344) by 4.
Working: 1508 ÷ 4/3344 ÷ 4 = 377/836

Key Values:
- Simplified Fraction: 377/836
- Mixed Number Form: 377/836
- Decimal Value: 0.450957
- Percentage: 45.0957%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1508-3344/
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1508/3344 = 377/836

Simplified Fraction

377/836

Mixed Number

Proper (377/836)

Decimal Value

0.450957

Percentage

45.0957%

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Step-by-Step Solution: 1508/3344 = 377/836

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 3344: 1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 152, 176, 209, 304

GCD(1508, 3344) = 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 (3344) by 4.

1508 ÷ 4/3344 ÷ 4 = 377/836

Visual Representation

The diagram below illustrates Simplify 1508/3344 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`377/836`
Mixed Number Form	`377/836`
Decimal Form	`0.450957`
Percentage	`45.0957%`

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Frequently Asked Questions

What is 1508/3344 in simplest form?

1508/3344 simplified to lowest terms is 377/836.

What is the GCD (GCF) of 1508 and 3344?

The Greatest Common Divisor (GCD) of 1508 and 3344 is 4.

What are equivalent fractions to 1508/3344?

Equivalent fractions to 1508/3344 include 754/1672, 1131/2508, and 1508/3344.