What is 1508/1472 Simplified? (Reduce 1508/1472 to Lowest Terms: 377/368)

Exact Answer

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Problem: Simplify 1508/1472 to Lowest Terms
Formula / Expression: 1508/1472 = 377/368
Final Answer: 1 9/368 (377/368)
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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 1472: 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472
Working: GCD(1508, 1472) = 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 (1472) by 4.
Working: 1508 ÷ 4/1472 ÷ 4 = 377/368

Step 3: Convert Improper Fraction to a Mixed Number
Because 377 is larger than 368, 377/368 can also be written as the mixed number 1 9/368.
Working: 377/368 = 1 9/368

Key Values:
- Simplified Fraction: 377/368
- Mixed Number Form: 1 9/368
- Decimal Value: 1.024457
- Percentage: 102.4457%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1508-1472/
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1508/1472 = 377/368

Simplified Fraction

377/368

Mixed Number

1 9/368

Decimal Value

1.024457

Percentage

102.4457%

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Step-by-Step Solution: 1508/1472 = 377/368

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 1472: 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472

GCD(1508, 1472) = 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 (1472) by 4.

1508 ÷ 4/1472 ÷ 4 = 377/368

Step 3

Convert Improper Fraction to a Mixed Number

Because 377 is larger than 368, 377/368 can also be written as the mixed number 1 9/368.

377/368 = 19/368

Visual Representation

The diagram below illustrates Simplify 1508/1472 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`377/368`
Mixed Number Form	`1 9/368`
Decimal Form	`1.024457`
Percentage	`102.4457%`

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Frequently Asked Questions

What is 1508/1472 in simplest form?

1508/1472 simplified to lowest terms is 377/368.

What is the GCD (GCF) of 1508 and 1472?

The Greatest Common Divisor (GCD) of 1508 and 1472 is 4.

What are equivalent fractions to 1508/1472?

Equivalent fractions to 1508/1472 include 754/736, 1131/1104, and 1508/1472.