Simplify 704/1584 to Lowest Terms
704/1584 simplified to its lowest terms is 4/9 (or 0.444444 in decimal). See how to reduce 704/1584 using Greatest Common Divisor (GCD = 176).
Exact Answer
704/1584 = 4/9
Simplified Fraction
4/9
Mixed Number
Proper (4/9)
Decimal Value
0.444444
Percentage
44.4444%
Step-by-Step Solution: 704/1584 = 4/9
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 704:
• Factors of 1584:
• Factors of 704:
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704• Factors of 1584:
1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44
GCD(704, 1584) = 176
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 176. Divide both the numerator (704) and denominator (1584) by 176.
704 ÷ 176/1584 ÷ 176 = 4/9
Visual Representation
The diagram below illustrates Simplify 704/1584 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/9 |
| Mixed Number Form | 4/9 |
| Decimal Form | 0.444444 |
| Percentage | 44.4444% |
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Frequently Asked Questions
What is 704/1584 in simplest form?
704/1584 simplified to lowest terms is 4/9.
What is the GCD (GCF) of 704 and 1584?
The Greatest Common Divisor (GCD) of 704 and 1584 is 176.
What are equivalent fractions to 704/1584?
Equivalent fractions to 704/1584 include 8/18, 12/27, and 16/36.