What is 1504/1674 Simplified? (Reduce 1504/1674 to Lowest Terms: 752/837)

Exact Answer

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Problem: Simplify 1504/1674 to Lowest Terms
Formula / Expression: 1504/1674 = 752/837
Final Answer: 752/837
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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 1504: 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
• Factors of 1674: 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674
Working: GCD(1504, 1674) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1504) and denominator (1674) by 2.
Working: 1504 ÷ 2/1674 ÷ 2 = 752/837

Key Values:
- Simplified Fraction: 752/837
- Mixed Number Form: 752/837
- Decimal Value: 0.898447
- Percentage: 89.8447%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1504-1674/
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1504/1674 = 752/837

Simplified Fraction

752/837

Mixed Number

Proper (752/837)

Decimal Value

0.898447

Percentage

89.8447%

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Step-by-Step Solution: 1504/1674 = 752/837

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1504: 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
• Factors of 1674: 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674

GCD(1504, 1674) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1504) and denominator (1674) by 2.

1504 ÷ 2/1674 ÷ 2 = 752/837

Visual Representation

The diagram below illustrates Simplify 1504/1674 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`752/837`
Mixed Number Form	`752/837`
Decimal Form	`0.898447`
Percentage	`89.8447%`

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Frequently Asked Questions

What is 1504/1674 in simplest form?

1504/1674 simplified to lowest terms is 752/837.

What is the GCD (GCF) of 1504 and 1674?

The Greatest Common Divisor (GCD) of 1504 and 1674 is 2.

What are equivalent fractions to 1504/1674?

Equivalent fractions to 1504/1674 include 1504/1674, 2256/2511, and 3008/3348.