Simplify 704/564 to Lowest Terms
704/564 simplified to its lowest terms is 176/141 (or 1.248227 in decimal). See how to reduce 704/564 using Greatest Common Divisor (GCD = 4).
Exact Answer
704/564 = 176/141
Simplified Fraction
176/141
Mixed Number
1 35/141
Decimal Value
1.248227
Percentage
124.8227%
Step-by-Step Solution: 704/564 = 176/141
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 704:
• Factors of 564:
• Factors of 704:
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704• Factors of 564:
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD(704, 564) = 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 (564) by 4.
704 ÷ 4/564 ÷ 4 = 176/141
Step 3
Convert Improper Fraction to a Mixed Number
Because 176 is larger than 141, 176/141 can also be written as the mixed number 1 35/141.
176/141 = 135/141
Visual Representation
The diagram below illustrates Simplify 704/564 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 176/141 |
| Mixed Number Form | 1 35/141 |
| Decimal Form | 1.248227 |
| Percentage | 124.8227% |
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Frequently Asked Questions
What is 704/564 in simplest form?
704/564 simplified to lowest terms is 176/141.
What is the GCD (GCF) of 704 and 564?
The Greatest Common Divisor (GCD) of 704 and 564 is 4.
What are equivalent fractions to 704/564?
Equivalent fractions to 704/564 include 352/282, 528/423, and 704/564.