Simplify 208/580 to Lowest Terms
208/580 simplified to its lowest terms is 52/145 (or 0.358621 in decimal). See how to reduce 208/580 using Greatest Common Divisor (GCD = 4).
Exact Answer
208/580 = 52/145
Simplified Fraction
52/145
Mixed Number
Proper (52/145)
Decimal Value
0.358621
Percentage
35.8621%
Step-by-Step Solution: 208/580 = 52/145
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 208:
• Factors of 580:
• Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208• Factors of 580:
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
GCD(208, 580) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (208) and denominator (580) by 4.
208 ÷ 4/580 ÷ 4 = 52/145
Visual Representation
The diagram below illustrates Simplify 208/580 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 52/145 |
| Mixed Number Form | 52/145 |
| Decimal Form | 0.358621 |
| Percentage | 35.8621% |
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Frequently Asked Questions
What is 208/580 in simplest form?
208/580 simplified to lowest terms is 52/145.
What is the GCD (GCF) of 208 and 580?
The Greatest Common Divisor (GCD) of 208 and 580 is 4.
What are equivalent fractions to 208/580?
Equivalent fractions to 208/580 include 104/290, 156/435, and 208/580.