Simplify 704/682 to Lowest Terms
704/682 simplified to its lowest terms is 32/31 (or 1.032258 in decimal). See how to reduce 704/682 using Greatest Common Divisor (GCD = 22).
Exact Answer
704/682 = 32/31
Simplified Fraction
32/31
Mixed Number
1 1/31
Decimal Value
1.032258
Percentage
103.2258%
Step-by-Step Solution: 704/682 = 32/31
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 704:
• Factors of 682:
• Factors of 704:
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704• Factors of 682:
1, 2, 11, 22, 31, 62, 341, 682
GCD(704, 682) = 22
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 22. Divide both the numerator (704) and denominator (682) by 22.
704 ÷ 22/682 ÷ 22 = 32/31
Step 3
Convert Improper Fraction to a Mixed Number
Because 32 is larger than 31, 32/31 can also be written as the mixed number 1 1/31.
32/31 = 11/31
Visual Representation
The diagram below illustrates Simplify 704/682 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 32/31 |
| Mixed Number Form | 1 1/31 |
| Decimal Form | 1.032258 |
| Percentage | 103.2258% |
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Frequently Asked Questions
What is 704/682 in simplest form?
704/682 simplified to lowest terms is 32/31.
What is the GCD (GCF) of 704 and 682?
The Greatest Common Divisor (GCD) of 704 and 682 is 22.
What are equivalent fractions to 704/682?
Equivalent fractions to 704/682 include 64/62, 96/93, and 128/124.