What is 1508/1464 Simplified? (Reduce 1508/1464 to Lowest Terms: 377/366)

Exact Answer

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Problem: Simplify 1508/1464 to Lowest Terms
Formula / Expression: 1508/1464 = 377/366
Final Answer: 1 11/366 (377/366)
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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 1464: 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464
Working: GCD(1508, 1464) = 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 (1464) by 4.
Working: 1508 ÷ 4/1464 ÷ 4 = 377/366

Step 3: Convert Improper Fraction to a Mixed Number
Because 377 is larger than 366, 377/366 can also be written as the mixed number 1 11/366.
Working: 377/366 = 1 11/366

Key Values:
- Simplified Fraction: 377/366
- Mixed Number Form: 1 11/366
- Decimal Value: 1.030055
- Percentage: 103.0055%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1508-1464/
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1508/1464 = 377/366

Simplified Fraction

377/366

Mixed Number

1 11/366

Decimal Value

1.030055

Percentage

103.0055%

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Step-by-Step Solution: 1508/1464 = 377/366

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 1464: 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464

GCD(1508, 1464) = 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 (1464) by 4.

1508 ÷ 4/1464 ÷ 4 = 377/366

Step 3

Convert Improper Fraction to a Mixed Number

Because 377 is larger than 366, 377/366 can also be written as the mixed number 1 11/366.

377/366 = 111/366

Visual Representation

The diagram below illustrates Simplify 1508/1464 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`377/366`
Mixed Number Form	`1 11/366`
Decimal Form	`1.030055`
Percentage	`103.0055%`

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Frequently Asked Questions

What is 1508/1464 in simplest form?

1508/1464 simplified to lowest terms is 377/366.

What is the GCD (GCF) of 1508 and 1464?

The Greatest Common Divisor (GCD) of 1508 and 1464 is 4.

What are equivalent fractions to 1508/1464?

Equivalent fractions to 1508/1464 include 754/732, 1131/1098, and 1508/1464.