Simplify 704/684 to Lowest Terms
704/684 simplified to its lowest terms is 176/171 (or 1.02924 in decimal). See how to reduce 704/684 using Greatest Common Divisor (GCD = 4).
Exact Answer
704/684 = 176/171
Simplified Fraction
176/171
Mixed Number
1 5/171
Decimal Value
1.02924
Percentage
102.924%
Step-by-Step Solution: 704/684 = 176/171
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 704:
• Factors of 684:
• Factors of 704:
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704• Factors of 684:
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228
GCD(704, 684) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (704) and denominator (684) by 4.
704 ÷ 4/684 ÷ 4 = 176/171
Step 3
Convert Improper Fraction to a Mixed Number
Because 176 is larger than 171, 176/171 can also be written as the mixed number 1 5/171.
176/171 = 15/171
Visual Representation
The diagram below illustrates Simplify 704/684 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 176/171 |
| Mixed Number Form | 1 5/171 |
| Decimal Form | 1.02924 |
| Percentage | 102.924% |
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Frequently Asked Questions
What is 704/684 in simplest form?
704/684 simplified to lowest terms is 176/171.
What is the GCD (GCF) of 704 and 684?
The Greatest Common Divisor (GCD) of 704 and 684 is 4.
What are equivalent fractions to 704/684?
Equivalent fractions to 704/684 include 352/342, 528/513, and 704/684.