What is 704/1674 Simplified? (Reduce 704/1674 to Lowest Terms: 352/837)

Exact Answer

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Problem: Simplify 704/1674 to Lowest Terms
Formula / Expression: 704/1674 = 352/837
Final Answer: 352/837
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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 704: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
• Factors of 1674: 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674
Working: GCD(704, 1674) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (704) and denominator (1674) by 2.
Working: 704 ÷ 2/1674 ÷ 2 = 352/837

Key Values:
- Simplified Fraction: 352/837
- Mixed Number Form: 352/837
- Decimal Value: 0.42055
- Percentage: 42.055%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-704-1674/
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704/1674 = 352/837

Simplified Fraction

352/837

Mixed Number

Proper (352/837)

Decimal Value

0.42055

Percentage

42.055%

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Step-by-Step Solution: 704/1674 = 352/837

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 704: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
• Factors of 1674: 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674

GCD(704, 1674) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (704) and denominator (1674) by 2.

704 ÷ 2/1674 ÷ 2 = 352/837

Visual Representation

The diagram below illustrates Simplify 704/1674 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`352/837`
Mixed Number Form	`352/837`
Decimal Form	`0.42055`
Percentage	`42.055%`

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Frequently Asked Questions

What is 704/1674 in simplest form?

704/1674 simplified to lowest terms is 352/837.

What is the GCD (GCF) of 704 and 1674?

The Greatest Common Divisor (GCD) of 704 and 1674 is 2.

What are equivalent fractions to 704/1674?

Equivalent fractions to 704/1674 include 704/1674, 1056/2511, and 1408/3348.